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Finding the Third Proportional to 187,904,120 and 412,759,792

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Solution

The third proportional to 187,904,120 and 412,759,792 is: 906,689,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,904,120 : 412,759,792 = 412,759,792 : x
  2. Step 2: Convert to fraction form
    187,904,120/412,759,792 = 412,759,792/x
  3. Step 3: Cross multiply
    187,904,120x = 412,759,792 × 412,759,792
  4. Step 4: Simplify right side
    187,904,120x = 170,370,645,891,883,264
  5. Step 5: Solve for x
    x = 170,370,645,891,883,264/187,904,120
  6. Step 6: Final answer
    x = 906,689,251.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.