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Finding the Third Proportional to 88,672.50 and 194,590.13

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Solution

The third proportional to 88,672.50 and 194,590.13 is: 427,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,672.50 : 194,590.13 = 194,590.13 : x
  2. Step 2: Convert to fraction form
    88,672.50/194,590.13 = 194,590.13/x
  3. Step 3: Cross multiply
    88,672.50x = 194,590.13 × 194,590.13
  4. Step 4: Simplify right side
    88,672.50x = 37,865,316,747.52
  5. Step 5: Solve for x
    x = 37,865,316,747.52/88,672.50
  6. Step 6: Final answer
    x = 427,024.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.