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Finding the Third Proportional to 98,210.25 and 147,153.38

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Solution

The third proportional to 98,210.25 and 147,153.38 is: 220,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,210.25 : 147,153.38 = 147,153.38 : x
  2. Step 2: Convert to fraction form
    98,210.25/147,153.38 = 147,153.38/x
  3. Step 3: Cross multiply
    98,210.25x = 147,153.38 × 147,153.38
  4. Step 4: Simplify right side
    98,210.25x = 21,654,115,773.89
  5. Step 5: Solve for x
    x = 21,654,115,773.89/98,210.25
  6. Step 6: Final answer
    x = 220,487.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.