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Finding the Third Proportional to 130,972.78 and 200,217.66

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Solution

The third proportional to 130,972.78 and 200,217.66 is: 306,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,972.78 : 200,217.66 = 200,217.66 : x
  2. Step 2: Convert to fraction form
    130,972.78/200,217.66 = 200,217.66/x
  3. Step 3: Cross multiply
    130,972.78x = 200,217.66 × 200,217.66
  4. Step 4: Simplify right side
    130,972.78x = 40,087,109,874.24
  5. Step 5: Solve for x
    x = 40,087,109,874.24/130,972.78
  6. Step 6: Final answer
    x = 306,072.07

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.