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Finding the Third Proportional to 98,997.75 and 233,452.13

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Solution

The third proportional to 98,997.75 and 233,452.13 is: 550,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,997.75 : 233,452.13 = 233,452.13 : x
  2. Step 2: Convert to fraction form
    98,997.75/233,452.13 = 233,452.13/x
  3. Step 3: Cross multiply
    98,997.75x = 233,452.13 × 233,452.13
  4. Step 4: Simplify right side
    98,997.75x = 54,499,894,667.02
  5. Step 5: Solve for x
    x = 54,499,894,667.02/98,997.75
  6. Step 6: Final answer
    x = 550,516.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.