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Finding the Third Proportional to 98,091 and 231,295.50

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Solution

The third proportional to 98,091 and 231,295.50 is: 545,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,091 : 231,295.50 = 231,295.50 : x
  2. Step 2: Convert to fraction form
    98,091/231,295.50 = 231,295.50/x
  3. Step 3: Cross multiply
    98,091x = 231,295.50 × 231,295.50
  4. Step 4: Simplify right side
    98,091x = 53,497,608,320.25
  5. Step 5: Solve for x
    x = 53,497,608,320.25/98,091
  6. Step 6: Final answer
    x = 545,387.53

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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.