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Finding the Third Proportional to 61,221,434.50 and 133,204,083.50

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Solution

The third proportional to 61,221,434.50 and 133,204,083.50 is: 289,822,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,221,434.50 : 133,204,083.50 = 133,204,083.50 : x
  2. Step 2: Convert to fraction form
    61,221,434.50/133,204,083.50 = 133,204,083.50/x
  3. Step 3: Cross multiply
    61,221,434.50x = 133,204,083.50 × 133,204,083.50
  4. Step 4: Simplify right side
    61,221,434.50x = 17,743,327,861,074,972
  5. Step 5: Solve for x
    x = 17,743,327,861,074,972/61,221,434.50
  6. Step 6: Final answer
    x = 289,822,151.44

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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.