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Finding the Third Proportional to 95,826 and 210,486

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Solution

The third proportional to 95,826 and 210,486 is: 462,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,826 : 210,486 = 210,486 : x
  2. Step 2: Convert to fraction form
    95,826/210,486 = 210,486/x
  3. Step 3: Cross multiply
    95,826x = 210,486 × 210,486
  4. Step 4: Simplify right side
    95,826x = 44,304,356,196
  5. Step 5: Solve for x
    x = 44,304,356,196/95,826
  6. Step 6: Final answer
    x = 462,341.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.