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Finding the Third Proportional to 98,543.81 and 216,163.13

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Solution

The third proportional to 98,543.81 and 216,163.13 is: 474,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,543.81 : 216,163.13 = 216,163.13 : x
  2. Step 2: Convert to fraction form
    98,543.81/216,163.13 = 216,163.13/x
  3. Step 3: Cross multiply
    98,543.81x = 216,163.13 × 216,163.13
  4. Step 4: Simplify right side
    98,543.81x = 46,726,496,609.77
  5. Step 5: Solve for x
    x = 46,726,496,609.77/98,543.81
  6. Step 6: Final answer
    x = 474,169.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.