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Finding the Third Proportional to 82,959.19 and 195,004.97

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Solution

The third proportional to 82,959.19 and 195,004.97 is: 458,381.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,959.19 : 195,004.97 = 195,004.97 : x
  2. Step 2: Convert to fraction form
    82,959.19/195,004.97 = 195,004.97/x
  3. Step 3: Cross multiply
    82,959.19x = 195,004.97 × 195,004.97
  4. Step 4: Simplify right side
    82,959.19x = 38,026,937,837.19
  5. Step 5: Solve for x
    x = 38,026,937,837.19/82,959.19
  6. Step 6: Final answer
    x = 458,381.27

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.