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Finding the Third Proportional to 100,369,694.25 and 153,439,363.13

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Solution

The third proportional to 100,369,694.25 and 153,439,363.13 is: 234,569,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,369,694.25 : 153,439,363.13 = 153,439,363.13 : x
  2. Step 2: Convert to fraction form
    100,369,694.25/153,439,363.13 = 153,439,363.13/x
  3. Step 3: Cross multiply
    100,369,694.25x = 153,439,363.13 × 153,439,363.13
  4. Step 4: Simplify right side
    100,369,694.25x = 23,543,638,156,205,608
  5. Step 5: Solve for x
    x = 23,543,638,156,205,608/100,369,694.25
  6. Step 6: Final answer
    x = 234,569,192.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.