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Finding the Third Proportional to 63,546,943.50 and 137,171,583

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Solution

The third proportional to 63,546,943.50 and 137,171,583 is: 296,096,745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,546,943.50 : 137,171,583 = 137,171,583 : x
  2. Step 2: Convert to fraction form
    63,546,943.50/137,171,583 = 137,171,583/x
  3. Step 3: Cross multiply
    63,546,943.50x = 137,171,583 × 137,171,583
  4. Step 4: Simplify right side
    63,546,943.50x = 18,816,043,182,725,888
  5. Step 5: Solve for x
    x = 18,816,043,182,725,888/63,546,943.50
  6. Step 6: Final answer
    x = 296,096,745.91

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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.