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Finding the Third Proportional to 95,114 and 200,835

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Solution

The third proportional to 95,114 and 200,835 is: 424,066.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,114 : 200,835 = 200,835 : x
  2. Step 2: Convert to fraction form
    95,114/200,835 = 200,835/x
  3. Step 3: Cross multiply
    95,114x = 200,835 × 200,835
  4. Step 4: Simplify right side
    95,114x = 40,334,697,225
  5. Step 5: Solve for x
    x = 40,334,697,225/95,114
  6. Step 6: Final answer
    x = 424,066.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.