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Finding the Third Proportional to 199,092.94 and 429,882.19

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Solution

The third proportional to 199,092.94 and 429,882.19 is: 928,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,092.94 : 429,882.19 = 429,882.19 : x
  2. Step 2: Convert to fraction form
    199,092.94/429,882.19 = 429,882.19/x
  3. Step 3: Cross multiply
    199,092.94x = 429,882.19 × 429,882.19
  4. Step 4: Simplify right side
    199,092.94x = 184,798,695,129.79
  5. Step 5: Solve for x
    x = 184,798,695,129.79/199,092.94
  6. Step 6: Final answer
    x = 928,203.17

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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.