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Finding the Third Proportional to 45,727.50 and 99,834

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Solution

The third proportional to 45,727.50 and 99,834 is: 217,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,727.50 : 99,834 = 99,834 : x
  2. Step 2: Convert to fraction form
    45,727.50/99,834 = 99,834/x
  3. Step 3: Cross multiply
    45,727.50x = 99,834 × 99,834
  4. Step 4: Simplify right side
    45,727.50x = 9,966,827,556
  5. Step 5: Solve for x
    x = 9,966,827,556/45,727.50
  6. Step 6: Final answer
    x = 217,961.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.