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Finding the Third Proportional to 49,472,660.25 and 106,613,327.25

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Solution

The third proportional to 49,472,660.25 and 106,613,327.25 is: 229,751,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,472,660.25 : 106,613,327.25 = 106,613,327.25 : x
  2. Step 2: Convert to fraction form
    49,472,660.25/106,613,327.25 = 106,613,327.25/x
  3. Step 3: Cross multiply
    49,472,660.25x = 106,613,327.25 × 106,613,327.25
  4. Step 4: Simplify right side
    49,472,660.25x = 11,366,401,547,315,592
  5. Step 5: Solve for x
    x = 11,366,401,547,315,592/49,472,660.25
  6. Step 6: Final answer
    x = 229,751,169.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.