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Finding the Third Proportional to 61,221,456 and 133,204,120

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Solution

The third proportional to 61,221,456 and 133,204,120 is: 289,822,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,221,456 : 133,204,120 = 133,204,120 : x
  2. Step 2: Convert to fraction form
    61,221,456/133,204,120 = 133,204,120/x
  3. Step 3: Cross multiply
    61,221,456x = 133,204,120 × 133,204,120
  4. Step 4: Simplify right side
    61,221,456x = 17,743,337,584,974,400
  5. Step 5: Solve for x
    x = 17,743,337,584,974,400/61,221,456
  6. Step 6: Final answer
    x = 289,822,208.49

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