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Finding the Third Proportional to 99,751.50 and 213,526.13

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Solution

The third proportional to 99,751.50 and 213,526.13 is: 457,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,751.50 : 213,526.13 = 213,526.13 : x
  2. Step 2: Convert to fraction form
    99,751.50/213,526.13 = 213,526.13/x
  3. Step 3: Cross multiply
    99,751.50x = 213,526.13 × 213,526.13
  4. Step 4: Simplify right side
    99,751.50x = 45,593,406,057.52
  5. Step 5: Solve for x
    x = 45,593,406,057.52/99,751.50
  6. Step 6: Final answer
    x = 457,069.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.