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Finding the Third Proportional to 99,407.25 and 212,209.88

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Solution

The third proportional to 99,407.25 and 212,209.88 is: 453,015.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,407.25 : 212,209.88 = 212,209.88 : x
  2. Step 2: Convert to fraction form
    99,407.25/212,209.88 = 212,209.88/x
  3. Step 3: Cross multiply
    99,407.25x = 212,209.88 × 212,209.88
  4. Step 4: Simplify right side
    99,407.25x = 45,033,031,047.52
  5. Step 5: Solve for x
    x = 45,033,031,047.52/99,407.25
  6. Step 6: Final answer
    x = 453,015.56

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.