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Finding the Third Proportional to 91,032 and 186,438

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Solution

The third proportional to 91,032 and 186,438 is: 381,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,032 : 186,438 = 186,438 : x
  2. Step 2: Convert to fraction form
    91,032/186,438 = 186,438/x
  3. Step 3: Cross multiply
    91,032x = 186,438 × 186,438
  4. Step 4: Simplify right side
    91,032x = 34,759,127,844
  5. Step 5: Solve for x
    x = 34,759,127,844/91,032
  6. Step 6: Final answer
    x = 381,834.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.