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Finding the Third Proportional to 91,654.50 and 191,688

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Solution

The third proportional to 91,654.50 and 191,688 is: 400,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,654.50 : 191,688 = 191,688 : x
  2. Step 2: Convert to fraction form
    91,654.50/191,688 = 191,688/x
  3. Step 3: Cross multiply
    91,654.50x = 191,688 × 191,688
  4. Step 4: Simplify right side
    91,654.50x = 36,744,289,344
  5. Step 5: Solve for x
    x = 36,744,289,344/91,654.50
  6. Step 6: Final answer
    x = 400,900.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.