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Finding the Third Proportional to 61,221,447 and 133,204,107

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Solution

The third proportional to 61,221,447 and 133,204,107 is: 289,822,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,221,447 : 133,204,107 = 133,204,107 : x
  2. Step 2: Convert to fraction form
    61,221,447/133,204,107 = 133,204,107/x
  3. Step 3: Cross multiply
    61,221,447x = 133,204,107 × 133,204,107
  4. Step 4: Simplify right side
    61,221,447x = 17,743,334,121,667,448
  5. Step 5: Solve for x
    x = 17,743,334,121,667,448/61,221,447
  6. Step 6: Final answer
    x = 289,822,194.53

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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.