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Finding the Third Proportional to 91,808 and 166,316

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Solution

The third proportional to 91,808 and 166,316 is: 301,291.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,808 : 166,316 = 166,316 : x
  2. Step 2: Convert to fraction form
    91,808/166,316 = 166,316/x
  3. Step 3: Cross multiply
    91,808x = 166,316 × 166,316
  4. Step 4: Simplify right side
    91,808x = 27,661,011,856
  5. Step 5: Solve for x
    x = 27,661,011,856/91,808
  6. Step 6: Final answer
    x = 301,291.96

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.