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Finding the Third Proportional to 95,080.50 and 205,209

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Solution

The third proportional to 95,080.50 and 205,209 is: 442,895.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,080.50 : 205,209 = 205,209 : x
  2. Step 2: Convert to fraction form
    95,080.50/205,209 = 205,209/x
  3. Step 3: Cross multiply
    95,080.50x = 205,209 × 205,209
  4. Step 4: Simplify right side
    95,080.50x = 42,110,733,681
  5. Step 5: Solve for x
    x = 42,110,733,681/95,080.50
  6. Step 6: Final answer
    x = 442,895.59

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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.