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Finding the Third Proportional to 47,344.50 and 102,070.13

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Solution

The third proportional to 47,344.50 and 102,070.13 is: 220,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,344.50 : 102,070.13 = 102,070.13 : x
  2. Step 2: Convert to fraction form
    47,344.50/102,070.13 = 102,070.13/x
  3. Step 3: Cross multiply
    47,344.50x = 102,070.13 × 102,070.13
  4. Step 4: Simplify right side
    47,344.50x = 10,418,310,417.52
  5. Step 5: Solve for x
    x = 10,418,310,417.52/47,344.50
  6. Step 6: Final answer
    x = 220,053.24

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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.