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Finding the Third Proportional to 238,639,992 and 377,284,320

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Solution

The third proportional to 238,639,992 and 377,284,320 is: 596,477,802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,639,992 : 377,284,320 = 377,284,320 : x
  2. Step 2: Convert to fraction form
    238,639,992/377,284,320 = 377,284,320/x
  3. Step 3: Cross multiply
    238,639,992x = 377,284,320 × 377,284,320
  4. Step 4: Simplify right side
    238,639,992x = 142,343,458,117,862,400
  5. Step 5: Solve for x
    x = 142,343,458,117,862,400/238,639,992
  6. Step 6: Final answer
    x = 596,477,802.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.