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Finding the Third Proportional to 66,098.25 and 99,295.31

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Solution

The third proportional to 66,098.25 and 99,295.31 is: 149,165.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,098.25 : 99,295.31 = 99,295.31 : x
  2. Step 2: Convert to fraction form
    66,098.25/99,295.31 = 99,295.31/x
  3. Step 3: Cross multiply
    66,098.25x = 99,295.31 × 99,295.31
  4. Step 4: Simplify right side
    66,098.25x = 9,859,559,084.47
  5. Step 5: Solve for x
    x = 9,859,559,084.47/66,098.25
  6. Step 6: Final answer
    x = 149,165.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.