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Finding the Third Proportional to 95,347.13 and 205,714.69

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Solution

The third proportional to 95,347.13 and 205,714.69 is: 443,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,347.13 : 205,714.69 = 205,714.69 : x
  2. Step 2: Convert to fraction form
    95,347.13/205,714.69 = 205,714.69/x
  3. Step 3: Cross multiply
    95,347.13x = 205,714.69 × 205,714.69
  4. Step 4: Simplify right side
    95,347.13x = 42,318,532,653.22
  5. Step 5: Solve for x
    x = 42,318,532,653.22/95,347.13
  6. Step 6: Final answer
    x = 443,836.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.