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Finding the Third Proportional to 45,477 and 93,208

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Solution

The third proportional to 45,477 and 93,208 is: 191,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,477 : 93,208 = 93,208 : x
  2. Step 2: Convert to fraction form
    45,477/93,208 = 93,208/x
  3. Step 3: Cross multiply
    45,477x = 93,208 × 93,208
  4. Step 4: Simplify right side
    45,477x = 8,687,731,264
  5. Step 5: Solve for x
    x = 8,687,731,264/45,477
  6. Step 6: Final answer
    x = 191,035.72

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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.