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Finding the Third Proportional to 95,618 and 210,109

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Solution

The third proportional to 95,618 and 210,109 is: 461,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,618 : 210,109 = 210,109 : x
  2. Step 2: Convert to fraction form
    95,618/210,109 = 210,109/x
  3. Step 3: Cross multiply
    95,618x = 210,109 × 210,109
  4. Step 4: Simplify right side
    95,618x = 44,145,791,881
  5. Step 5: Solve for x
    x = 44,145,791,881/95,618
  6. Step 6: Final answer
    x = 461,689.14

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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.