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Finding the Third Proportional to 83,116.13 and 178,048.13

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Solution

The third proportional to 83,116.13 and 178,048.13 is: 381,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116.13 : 178,048.13 = 178,048.13 : x
  2. Step 2: Convert to fraction form
    83,116.13/178,048.13 = 178,048.13/x
  3. Step 3: Cross multiply
    83,116.13x = 178,048.13 × 178,048.13
  4. Step 4: Simplify right side
    83,116.13x = 31,701,134,816.02
  5. Step 5: Solve for x
    x = 31,701,134,816.02/83,116.13
  6. Step 6: Final answer
    x = 381,407.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.