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Finding the Third Proportional to 237,357,839,400.19 and 509,172,047,508.95

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Solution

The third proportional to 237,357,839,400.19 and 509,172,047,508.95 is: 1,092,258,737,354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,357,839,400.19 : 509,172,047,508.95 = 509,172,047,508.95 : x
  2. Step 2: Convert to fraction form
    237,357,839,400.19/509,172,047,508.95 = 509,172,047,508.95/x
  3. Step 3: Cross multiply
    237,357,839,400.19x = 509,172,047,508.95 × 509,172,047,508.95
  4. Step 4: Simplify right side
    237,357,839,400.19x = 259,256,173,964,456,447,967,232
  5. Step 5: Solve for x
    x = 259,256,173,964,456,447,967,232/237,357,839,400.19
  6. Step 6: Final answer
    x = 1,092,258,737,354.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.