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Finding the Third Proportional to 95,088 and 205,226

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Solution

The third proportional to 95,088 and 205,226 is: 442,934.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,088 : 205,226 = 205,226 : x
  2. Step 2: Convert to fraction form
    95,088/205,226 = 205,226/x
  3. Step 3: Cross multiply
    95,088x = 205,226 × 205,226
  4. Step 4: Simplify right side
    95,088x = 42,117,711,076
  5. Step 5: Solve for x
    x = 42,117,711,076/95,088
  6. Step 6: Final answer
    x = 442,934.03

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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.