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Finding the Third Proportional to 47,329.50 and 101,226

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Solution

The third proportional to 47,329.50 and 101,226 is: 216,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,329.50 : 101,226 = 101,226 : x
  2. Step 2: Convert to fraction form
    47,329.50/101,226 = 101,226/x
  3. Step 3: Cross multiply
    47,329.50x = 101,226 × 101,226
  4. Step 4: Simplify right side
    47,329.50x = 10,246,703,076
  5. Step 5: Solve for x
    x = 10,246,703,076/47,329.50
  6. Step 6: Final answer
    x = 216,497.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.