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Finding the Third Proportional to 92,496 and 191,554.50

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Solution

The third proportional to 92,496 and 191,554.50 is: 396,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,496 : 191,554.50 = 191,554.50 : x
  2. Step 2: Convert to fraction form
    92,496/191,554.50 = 191,554.50/x
  3. Step 3: Cross multiply
    92,496x = 191,554.50 × 191,554.50
  4. Step 4: Simplify right side
    92,496x = 36,693,126,470.25
  5. Step 5: Solve for x
    x = 36,693,126,470.25/92,496
  6. Step 6: Final answer
    x = 396,699.60

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.