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Finding the Third Proportional to 98,921.88 and 233,282.85

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Solution

The third proportional to 98,921.88 and 233,282.85 is: 550,140.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,921.88 : 233,282.85 = 233,282.85 : x
  2. Step 2: Convert to fraction form
    98,921.88/233,282.85 = 233,282.85/x
  3. Step 3: Cross multiply
    98,921.88x = 233,282.85 × 233,282.85
  4. Step 4: Simplify right side
    98,921.88x = 54,420,887,010.61
  5. Step 5: Solve for x
    x = 54,420,887,010.61/98,921.88
  6. Step 6: Final answer
    x = 550,140.02

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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.