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Finding the Third Proportional to 199,069.13 and 429,814.13

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Solution

The third proportional to 199,069.13 and 429,814.13 is: 928,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,069.13 : 429,814.13 = 429,814.13 : x
  2. Step 2: Convert to fraction form
    199,069.13/429,814.13 = 429,814.13/x
  3. Step 3: Cross multiply
    199,069.13x = 429,814.13 × 429,814.13
  4. Step 4: Simplify right side
    199,069.13x = 184,740,182,049.52
  5. Step 5: Solve for x
    x = 184,740,182,049.52/199,069.13
  6. Step 6: Final answer
    x = 928,020.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.