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Finding the Third Proportional to 164,541,584 and 240,755,474

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Solution

The third proportional to 164,541,584 and 240,755,474 is: 352,270,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,541,584 : 240,755,474 = 240,755,474 : x
  2. Step 2: Convert to fraction form
    164,541,584/240,755,474 = 240,755,474/x
  3. Step 3: Cross multiply
    164,541,584x = 240,755,474 × 240,755,474
  4. Step 4: Simplify right side
    164,541,584x = 57,963,198,260,964,672
  5. Step 5: Solve for x
    x = 57,963,198,260,964,672/164,541,584
  6. Step 6: Final answer
    x = 352,270,817.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.