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Finding the Third Proportional to 98,283.38 and 155,869.31

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Solution

The third proportional to 98,283.38 and 155,869.31 is: 247,195.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,283.38 : 155,869.31 = 155,869.31 : x
  2. Step 2: Convert to fraction form
    98,283.38/155,869.31 = 155,869.31/x
  3. Step 3: Cross multiply
    98,283.38x = 155,869.31 × 155,869.31
  4. Step 4: Simplify right side
    98,283.38x = 24,295,242,579.22
  5. Step 5: Solve for x
    x = 24,295,242,579.22/98,283.38
  6. Step 6: Final answer
    x = 247,195.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.