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Finding the Third Proportional to 61,761,649.50 and 133,690,844.25

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Solution

The third proportional to 61,761,649.50 and 133,690,844.25 is: 289,390,616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,761,649.50 : 133,690,844.25 = 133,690,844.25 : x
  2. Step 2: Convert to fraction form
    61,761,649.50/133,690,844.25 = 133,690,844.25/x
  3. Step 3: Cross multiply
    61,761,649.50x = 133,690,844.25 × 133,690,844.25
  4. Step 4: Simplify right side
    61,761,649.50x = 17,873,241,836,277,758
  5. Step 5: Solve for x
    x = 17,873,241,836,277,758/61,761,649.50
  6. Step 6: Final answer
    x = 289,390,616.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.