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Finding the Third Proportional to 77,852,502 and 109,509,312

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Solution

The third proportional to 77,852,502 and 109,509,312 is: 154,038,587.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,852,502 : 109,509,312 = 109,509,312 : x
  2. Step 2: Convert to fraction form
    77,852,502/109,509,312 = 109,509,312/x
  3. Step 3: Cross multiply
    77,852,502x = 109,509,312 × 109,509,312
  4. Step 4: Simplify right side
    77,852,502x = 11,992,289,414,713,344
  5. Step 5: Solve for x
    x = 11,992,289,414,713,344/77,852,502
  6. Step 6: Final answer
    x = 154,038,587.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.