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Finding the Third Proportional to 61,221,429 and 133,204,072.50

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Solution

The third proportional to 61,221,429 and 133,204,072.50 is: 289,822,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,221,429 : 133,204,072.50 = 133,204,072.50 : x
  2. Step 2: Convert to fraction form
    61,221,429/133,204,072.50 = 133,204,072.50/x
  3. Step 3: Cross multiply
    61,221,429x = 133,204,072.50 × 133,204,072.50
  4. Step 4: Simplify right side
    61,221,429x = 17,743,324,930,585,256
  5. Step 5: Solve for x
    x = 17,743,324,930,585,256/61,221,429
  6. Step 6: Final answer
    x = 289,822,129.61

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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.