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Finding the Third Proportional to 85,670.44 and 185,641.31

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Solution

The third proportional to 85,670.44 and 185,641.31 is: 402,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,670.44 : 185,641.31 = 185,641.31 : x
  2. Step 2: Convert to fraction form
    85,670.44/185,641.31 = 185,641.31/x
  3. Step 3: Cross multiply
    85,670.44x = 185,641.31 × 185,641.31
  4. Step 4: Simplify right side
    85,670.44x = 34,462,696,906.72
  5. Step 5: Solve for x
    x = 34,462,696,906.72/85,670.44
  6. Step 6: Final answer
    x = 402,270.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.