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Finding the Third Proportional to 94,139.72 and 206,937.28

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Solution

The third proportional to 94,139.72 and 206,937.28 is: 454,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,139.72 : 206,937.28 = 206,937.28 : x
  2. Step 2: Convert to fraction form
    94,139.72/206,937.28 = 206,937.28/x
  3. Step 3: Cross multiply
    94,139.72x = 206,937.28 × 206,937.28
  4. Step 4: Simplify right side
    94,139.72x = 42,823,038,371.14
  5. Step 5: Solve for x
    x = 42,823,038,371.14/94,139.72
  6. Step 6: Final answer
    x = 454,888.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.