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Finding the Third Proportional to 91,499.63 and 198,272.63

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Solution

The third proportional to 91,499.63 and 198,272.63 is: 429,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,499.63 : 198,272.63 = 198,272.63 : x
  2. Step 2: Convert to fraction form
    91,499.63/198,272.63 = 198,272.63/x
  3. Step 3: Cross multiply
    91,499.63x = 198,272.63 × 198,272.63
  4. Step 4: Simplify right side
    91,499.63x = 39,312,033,824.39
  5. Step 5: Solve for x
    x = 39,312,033,824.39/91,499.63
  6. Step 6: Final answer
    x = 429,641.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.