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Finding the Third Proportional to 89,862 and 197,292

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Solution

The third proportional to 89,862 and 197,292 is: 433,154.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,862 : 197,292 = 197,292 : x
  2. Step 2: Convert to fraction form
    89,862/197,292 = 197,292/x
  3. Step 3: Cross multiply
    89,862x = 197,292 × 197,292
  4. Step 4: Simplify right side
    89,862x = 38,924,133,264
  5. Step 5: Solve for x
    x = 38,924,133,264/89,862
  6. Step 6: Final answer
    x = 433,154.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.