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Finding the Third Proportional to 103,663,414 and 226,852,366

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Solution

The third proportional to 103,663,414 and 226,852,366 is: 496,433,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,663,414 : 226,852,366 = 226,852,366 : x
  2. Step 2: Convert to fraction form
    103,663,414/226,852,366 = 226,852,366/x
  3. Step 3: Cross multiply
    103,663,414x = 226,852,366 × 226,852,366
  4. Step 4: Simplify right side
    103,663,414x = 51,461,995,959,797,952
  5. Step 5: Solve for x
    x = 51,461,995,959,797,952/103,663,414
  6. Step 6: Final answer
    x = 496,433,543.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.