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Finding the Third Proportional to 91,186 and 196,948

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Solution

The third proportional to 91,186 and 196,948 is: 425,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,186 : 196,948 = 196,948 : x
  2. Step 2: Convert to fraction form
    91,186/196,948 = 196,948/x
  3. Step 3: Cross multiply
    91,186x = 196,948 × 196,948
  4. Step 4: Simplify right side
    91,186x = 38,788,514,704
  5. Step 5: Solve for x
    x = 38,788,514,704/91,186
  6. Step 6: Final answer
    x = 425,377.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.