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Finding the Third Proportional to 116,575,101.75 and 251,309,616.75

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Solution

The third proportional to 116,575,101.75 and 251,309,616.75 is: 541,766,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,575,101.75 : 251,309,616.75 = 251,309,616.75 : x
  2. Step 2: Convert to fraction form
    116,575,101.75/251,309,616.75 = 251,309,616.75/x
  3. Step 3: Cross multiply
    116,575,101.75x = 251,309,616.75 × 251,309,616.75
  4. Step 4: Simplify right side
    116,575,101.75x = 63,156,523,471,031,880
  5. Step 5: Solve for x
    x = 63,156,523,471,031,880/116,575,101.75
  6. Step 6: Final answer
    x = 541,766,831.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.