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Finding the Third Proportional to 103,358,101.50 and 225,493,287.75

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Solution

The third proportional to 103,358,101.50 and 225,493,287.75 is: 491,951,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,358,101.50 : 225,493,287.75 = 225,493,287.75 : x
  2. Step 2: Convert to fraction form
    103,358,101.50/225,493,287.75 = 225,493,287.75/x
  3. Step 3: Cross multiply
    103,358,101.50x = 225,493,287.75 × 225,493,287.75
  4. Step 4: Simplify right side
    103,358,101.50x = 50,847,222,820,304,304
  5. Step 5: Solve for x
    x = 50,847,222,820,304,304/103,358,101.50
  6. Step 6: Final answer
    x = 491,951,981.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.