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Finding the Third Proportional to 91,598 and 193,034

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Solution

The third proportional to 91,598 and 193,034 is: 406,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,598 : 193,034 = 193,034 : x
  2. Step 2: Convert to fraction form
    91,598/193,034 = 193,034/x
  3. Step 3: Cross multiply
    91,598x = 193,034 × 193,034
  4. Step 4: Simplify right side
    91,598x = 37,262,125,156
  5. Step 5: Solve for x
    x = 37,262,125,156/91,598
  6. Step 6: Final answer
    x = 406,800.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.