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Finding the Third Proportional to 95,394 and 207,190

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Solution

The third proportional to 95,394 and 207,190 is: 450,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,394 : 207,190 = 207,190 : x
  2. Step 2: Convert to fraction form
    95,394/207,190 = 207,190/x
  3. Step 3: Cross multiply
    95,394x = 207,190 × 207,190
  4. Step 4: Simplify right side
    95,394x = 42,927,696,100
  5. Step 5: Solve for x
    x = 42,927,696,100/95,394
  6. Step 6: Final answer
    x = 450,004.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.