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Finding the Third Proportional to 91,055 and 193,409

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Solution

The third proportional to 91,055 and 193,409 is: 410,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,055 : 193,409 = 193,409 : x
  2. Step 2: Convert to fraction form
    91,055/193,409 = 193,409/x
  3. Step 3: Cross multiply
    91,055x = 193,409 × 193,409
  4. Step 4: Simplify right side
    91,055x = 37,407,041,281
  5. Step 5: Solve for x
    x = 37,407,041,281/91,055
  6. Step 6: Final answer
    x = 410,818.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.