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Finding the Third Proportional to 95,011 and 205,087.50

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Solution

The third proportional to 95,011 and 205,087.50 is: 442,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,011 : 205,087.50 = 205,087.50 : x
  2. Step 2: Convert to fraction form
    95,011/205,087.50 = 205,087.50/x
  3. Step 3: Cross multiply
    95,011x = 205,087.50 × 205,087.50
  4. Step 4: Simplify right side
    95,011x = 42,060,882,656.25
  5. Step 5: Solve for x
    x = 42,060,882,656.25/95,011
  6. Step 6: Final answer
    x = 442,694.87

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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.