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Finding the Third Proportional to 92,430.38 and 189,239

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Solution

The third proportional to 92,430.38 and 189,239 is: 387,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,430.38 : 189,239 = 189,239 : x
  2. Step 2: Convert to fraction form
    92,430.38/189,239 = 189,239/x
  3. Step 3: Cross multiply
    92,430.38x = 189,239 × 189,239
  4. Step 4: Simplify right side
    92,430.38x = 35,811,399,121
  5. Step 5: Solve for x
    x = 35,811,399,121/92,430.38
  6. Step 6: Final answer
    x = 387,441.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.