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Finding the Third Proportional to 119,191.50 and 237,016.13

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Solution

The third proportional to 119,191.50 and 237,016.13 is: 471,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,191.50 : 237,016.13 = 237,016.13 : x
  2. Step 2: Convert to fraction form
    119,191.50/237,016.13 = 237,016.13/x
  3. Step 3: Cross multiply
    119,191.50x = 237,016.13 × 237,016.13
  4. Step 4: Simplify right side
    119,191.50x = 56,176,643,510.02
  5. Step 5: Solve for x
    x = 56,176,643,510.02/119,191.50
  6. Step 6: Final answer
    x = 471,314.18

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.