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Finding the Third Proportional to 95,588 and 207,943

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Solution

The third proportional to 95,588 and 207,943 is: 452,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,588 : 207,943 = 207,943 : x
  2. Step 2: Convert to fraction form
    95,588/207,943 = 207,943/x
  3. Step 3: Cross multiply
    95,588x = 207,943 × 207,943
  4. Step 4: Simplify right side
    95,588x = 43,240,291,249
  5. Step 5: Solve for x
    x = 43,240,291,249/95,588
  6. Step 6: Final answer
    x = 452,361.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.