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Finding the Third Proportional to 225,013,748 and 338,119,724

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Solution

The third proportional to 225,013,748 and 338,119,724 is: 508,079,834.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,013,748 : 338,119,724 = 338,119,724 : x
  2. Step 2: Convert to fraction form
    225,013,748/338,119,724 = 338,119,724/x
  3. Step 3: Cross multiply
    225,013,748x = 338,119,724 × 338,119,724
  4. Step 4: Simplify right side
    225,013,748x = 114,324,947,757,836,176
  5. Step 5: Solve for x
    x = 114,324,947,757,836,176/225,013,748
  6. Step 6: Final answer
    x = 508,079,834.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.