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Finding the Third Proportional to 63,200.88 and 138,472.98

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Solution

The third proportional to 63,200.88 and 138,472.98 is: 303,393.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,200.88 : 138,472.98 = 138,472.98 : x
  2. Step 2: Convert to fraction form
    63,200.88/138,472.98 = 138,472.98/x
  3. Step 3: Cross multiply
    63,200.88x = 138,472.98 × 138,472.98
  4. Step 4: Simplify right side
    63,200.88x = 19,174,766,319.90
  5. Step 5: Solve for x
    x = 19,174,766,319.90/63,200.88
  6. Step 6: Final answer
    x = 303,393.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.