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Finding the Third Proportional to 99,040.13 and 213,480.38

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Solution

The third proportional to 99,040.13 and 213,480.38 is: 460,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,040.13 : 213,480.38 = 213,480.38 : x
  2. Step 2: Convert to fraction form
    99,040.13/213,480.38 = 213,480.38/x
  3. Step 3: Cross multiply
    99,040.13x = 213,480.38 × 213,480.38
  4. Step 4: Simplify right side
    99,040.13x = 45,573,870,510.14
  5. Step 5: Solve for x
    x = 45,573,870,510.14/99,040.13
  6. Step 6: Final answer
    x = 460,155.62

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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.