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Finding the Third Proportional to 225,406,711.13 and 344,813,819.63

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Solution

The third proportional to 225,406,711.13 and 344,813,819.63 is: 527,475,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,406,711.13 : 344,813,819.63 = 344,813,819.63 : x
  2. Step 2: Convert to fraction form
    225,406,711.13/344,813,819.63 = 344,813,819.63/x
  3. Step 3: Cross multiply
    225,406,711.13x = 344,813,819.63 × 344,813,819.63
  4. Step 4: Simplify right side
    225,406,711.13x = 118,896,570,204,382,032
  5. Step 5: Solve for x
    x = 118,896,570,204,382,032/225,406,711.13
  6. Step 6: Final answer
    x = 527,475,733.14

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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.