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Finding the Third Proportional to 100,623.13 and 209,514

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Solution

The third proportional to 100,623.13 and 209,514 is: 436,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,623.13 : 209,514 = 209,514 : x
  2. Step 2: Convert to fraction form
    100,623.13/209,514 = 209,514/x
  3. Step 3: Cross multiply
    100,623.13x = 209,514 × 209,514
  4. Step 4: Simplify right side
    100,623.13x = 43,896,116,196
  5. Step 5: Solve for x
    x = 43,896,116,196/100,623.13
  6. Step 6: Final answer
    x = 436,242.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.