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Finding the Third Proportional to 88,475 and 191,028.13

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Solution

The third proportional to 88,475 and 191,028.13 is: 412,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,475 : 191,028.13 = 191,028.13 : x
  2. Step 2: Convert to fraction form
    88,475/191,028.13 = 191,028.13/x
  3. Step 3: Cross multiply
    88,475x = 191,028.13 × 191,028.13
  4. Step 4: Simplify right side
    88,475x = 36,491,744,541.02
  5. Step 5: Solve for x
    x = 36,491,744,541.02/88,475
  6. Step 6: Final answer
    x = 412,452.61

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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.