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Finding the Third Proportional to 199,999.13 and 292,101.19

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Solution

The third proportional to 199,999.13 and 292,101.19 is: 426,617.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,999.13 : 292,101.19 = 292,101.19 : x
  2. Step 2: Convert to fraction form
    199,999.13/292,101.19 = 292,101.19/x
  3. Step 3: Cross multiply
    199,999.13x = 292,101.19 × 292,101.19
  4. Step 4: Simplify right side
    199,999.13x = 85,323,103,738.91
  5. Step 5: Solve for x
    x = 85,323,103,738.91/199,999.13
  6. Step 6: Final answer
    x = 426,617.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.