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Finding the Third Proportional to 83,070.75 and 195,027.38

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Solution

The third proportional to 83,070.75 and 195,027.38 is: 457,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,070.75 : 195,027.38 = 195,027.38 : x
  2. Step 2: Convert to fraction form
    83,070.75/195,027.38 = 195,027.38/x
  3. Step 3: Cross multiply
    83,070.75x = 195,027.38 × 195,027.38
  4. Step 4: Simplify right side
    83,070.75x = 38,035,676,999.39
  5. Step 5: Solve for x
    x = 38,035,676,999.39/83,070.75
  6. Step 6: Final answer
    x = 457,870.88

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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.