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Finding the Third Proportional to 91,730 and 193,407

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Solution

The third proportional to 91,730 and 193,407 is: 407,786.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,730 : 193,407 = 193,407 : x
  2. Step 2: Convert to fraction form
    91,730/193,407 = 193,407/x
  3. Step 3: Cross multiply
    91,730x = 193,407 × 193,407
  4. Step 4: Simplify right side
    91,730x = 37,406,267,649
  5. Step 5: Solve for x
    x = 37,406,267,649/91,730
  6. Step 6: Final answer
    x = 407,786.63

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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.