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Finding the Third Proportional to 90,666.53 and 194,712.77

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Solution

The third proportional to 90,666.53 and 194,712.77 is: 418,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,666.53 : 194,712.77 = 194,712.77 : x
  2. Step 2: Convert to fraction form
    90,666.53/194,712.77 = 194,712.77/x
  3. Step 3: Cross multiply
    90,666.53x = 194,712.77 × 194,712.77
  4. Step 4: Simplify right side
    90,666.53x = 37,913,061,857.93
  5. Step 5: Solve for x
    x = 37,913,061,857.93/90,666.53
  6. Step 6: Final answer
    x = 418,159.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.