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Finding the Third Proportional to 96,470 and 206,784

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Solution

The third proportional to 96,470 and 206,784 is: 443,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,470 : 206,784 = 206,784 : x
  2. Step 2: Convert to fraction form
    96,470/206,784 = 206,784/x
  3. Step 3: Cross multiply
    96,470x = 206,784 × 206,784
  4. Step 4: Simplify right side
    96,470x = 42,759,622,656
  5. Step 5: Solve for x
    x = 42,759,622,656/96,470
  6. Step 6: Final answer
    x = 443,242.69

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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.