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Finding the Third Proportional to 91,341.42 and 199,239.12

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Solution

The third proportional to 91,341.42 and 199,239.12 is: 434,591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,341.42 : 199,239.12 = 199,239.12 : x
  2. Step 2: Convert to fraction form
    91,341.42/199,239.12 = 199,239.12/x
  3. Step 3: Cross multiply
    91,341.42x = 199,239.12 × 199,239.12
  4. Step 4: Simplify right side
    91,341.42x = 39,696,225,817.65
  5. Step 5: Solve for x
    x = 39,696,225,817.65/91,341.42
  6. Step 6: Final answer
    x = 434,591.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.