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Finding the Third Proportional to 199,113.19 and 429,922.69

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Solution

The third proportional to 199,113.19 and 429,922.69 is: 928,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,113.19 : 429,922.69 = 429,922.69 : x
  2. Step 2: Convert to fraction form
    199,113.19/429,922.69 = 429,922.69/x
  3. Step 3: Cross multiply
    199,113.19x = 429,922.69 × 429,922.69
  4. Step 4: Simplify right side
    199,113.19x = 184,833,517,227.22
  5. Step 5: Solve for x
    x = 184,833,517,227.22/199,113.19
  6. Step 6: Final answer
    x = 928,283.65

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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.