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Finding the Third Proportional to 47,488.50 and 101,332.88

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Solution

The third proportional to 47,488.50 and 101,332.88 is: 216,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,488.50 : 101,332.88 = 101,332.88 : x
  2. Step 2: Convert to fraction form
    47,488.50/101,332.88 = 101,332.88/x
  3. Step 3: Cross multiply
    47,488.50x = 101,332.88 × 101,332.88
  4. Step 4: Simplify right side
    47,488.50x = 10,268,351,555.77
  5. Step 5: Solve for x
    x = 10,268,351,555.77/47,488.50
  6. Step 6: Final answer
    x = 216,228.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.