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Finding the Third Proportional to 47,860.88 and 103,042.13

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Solution

The third proportional to 47,860.88 and 103,042.13 is: 221,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,860.88 : 103,042.13 = 103,042.13 : x
  2. Step 2: Convert to fraction form
    47,860.88/103,042.13 = 103,042.13/x
  3. Step 3: Cross multiply
    47,860.88x = 103,042.13 × 103,042.13
  4. Step 4: Simplify right side
    47,860.88x = 10,617,679,524.52
  5. Step 5: Solve for x
    x = 10,617,679,524.52/47,860.88
  6. Step 6: Final answer
    x = 221,844.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.