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Finding the Third Proportional to 91,167 and 191,547

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Solution

The third proportional to 91,167 and 191,547 is: 402,451.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,167 : 191,547 = 191,547 : x
  2. Step 2: Convert to fraction form
    91,167/191,547 = 191,547/x
  3. Step 3: Cross multiply
    91,167x = 191,547 × 191,547
  4. Step 4: Simplify right side
    91,167x = 36,690,253,209
  5. Step 5: Solve for x
    x = 36,690,253,209/91,167
  6. Step 6: Final answer
    x = 402,451.03

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.