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Finding the Third Proportional to 99,646.25 and 151,314.75

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Solution

The third proportional to 99,646.25 and 151,314.75 is: 229,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,646.25 : 151,314.75 = 151,314.75 : x
  2. Step 2: Convert to fraction form
    99,646.25/151,314.75 = 151,314.75/x
  3. Step 3: Cross multiply
    99,646.25x = 151,314.75 × 151,314.75
  4. Step 4: Simplify right side
    99,646.25x = 22,896,153,567.56
  5. Step 5: Solve for x
    x = 22,896,153,567.56/99,646.25
  6. Step 6: Final answer
    x = 229,774.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.