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Finding the Third Proportional to 95,874.50 and 209,053

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Solution

The third proportional to 95,874.50 and 209,053 is: 455,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,874.50 : 209,053 = 209,053 : x
  2. Step 2: Convert to fraction form
    95,874.50/209,053 = 209,053/x
  3. Step 3: Cross multiply
    95,874.50x = 209,053 × 209,053
  4. Step 4: Simplify right side
    95,874.50x = 43,703,156,809
  5. Step 5: Solve for x
    x = 43,703,156,809/95,874.50
  6. Step 6: Final answer
    x = 455,837.13

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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.