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Finding the Third Proportional to 105,418.13 and 223,062.19

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Solution

The third proportional to 105,418.13 and 223,062.19 is: 471,994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,418.13 : 223,062.19 = 223,062.19 : x
  2. Step 2: Convert to fraction form
    105,418.13/223,062.19 = 223,062.19/x
  3. Step 3: Cross multiply
    105,418.13x = 223,062.19 × 223,062.19
  4. Step 4: Simplify right side
    105,418.13x = 49,756,739,492.29
  5. Step 5: Solve for x
    x = 49,756,739,492.29/105,418.13
  6. Step 6: Final answer
    x = 471,994.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.