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Finding the Third Proportional to 91,595 and 193,030

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Solution

The third proportional to 91,595 and 193,030 is: 406,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,595 : 193,030 = 193,030 : x
  2. Step 2: Convert to fraction form
    91,595/193,030 = 193,030/x
  3. Step 3: Cross multiply
    91,595x = 193,030 × 193,030
  4. Step 4: Simplify right side
    91,595x = 37,260,580,900
  5. Step 5: Solve for x
    x = 37,260,580,900/91,595
  6. Step 6: Final answer
    x = 406,797.11

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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.