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Finding the Third Proportional to 49,215,765 and 107,695,419

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Solution

The third proportional to 49,215,765 and 107,695,419 is: 235,662,358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,215,765 : 107,695,419 = 107,695,419 : x
  2. Step 2: Convert to fraction form
    49,215,765/107,695,419 = 107,695,419/x
  3. Step 3: Cross multiply
    49,215,765x = 107,695,419 × 107,695,419
  4. Step 4: Simplify right side
    49,215,765x = 11,598,303,273,585,560
  5. Step 5: Solve for x
    x = 11,598,303,273,585,560/49,215,765
  6. Step 6: Final answer
    x = 235,662,358.87

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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.