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Finding the Third Proportional to 100,167.50 and 216,135

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Solution

The third proportional to 100,167.50 and 216,135 is: 466,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,167.50 : 216,135 = 216,135 : x
  2. Step 2: Convert to fraction form
    100,167.50/216,135 = 216,135/x
  3. Step 3: Cross multiply
    100,167.50x = 216,135 × 216,135
  4. Step 4: Simplify right side
    100,167.50x = 46,714,338,225
  5. Step 5: Solve for x
    x = 46,714,338,225/100,167.50
  6. Step 6: Final answer
    x = 466,362.23

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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.