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Finding the Third Proportional to 85,477.78 and 186,160.78

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Solution

The third proportional to 85,477.78 and 186,160.78 is: 405,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,477.78 : 186,160.78 = 186,160.78 : x
  2. Step 2: Convert to fraction form
    85,477.78/186,160.78 = 186,160.78/x
  3. Step 3: Cross multiply
    85,477.78x = 186,160.78 × 186,160.78
  4. Step 4: Simplify right side
    85,477.78x = 34,655,836,475.61
  5. Step 5: Solve for x
    x = 34,655,836,475.61/85,477.78
  6. Step 6: Final answer
    x = 405,436.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.