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Finding the Third Proportional to 98,550 and 151,652.25

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Solution

The third proportional to 98,550 and 151,652.25 is: 233,367.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,550 : 151,652.25 = 151,652.25 : x
  2. Step 2: Convert to fraction form
    98,550/151,652.25 = 151,652.25/x
  3. Step 3: Cross multiply
    98,550x = 151,652.25 × 151,652.25
  4. Step 4: Simplify right side
    98,550x = 22,998,404,930.06
  5. Step 5: Solve for x
    x = 22,998,404,930.06/98,550
  6. Step 6: Final answer
    x = 233,367.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.