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Finding the Third Proportional to 68,480.44 and 147,146.63

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Solution

The third proportional to 68,480.44 and 147,146.63 is: 316,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,480.44 : 147,146.63 = 147,146.63 : x
  2. Step 2: Convert to fraction form
    68,480.44/147,146.63 = 147,146.63/x
  3. Step 3: Cross multiply
    68,480.44x = 147,146.63 × 147,146.63
  4. Step 4: Simplify right side
    68,480.44x = 21,652,129,248.89
  5. Step 5: Solve for x
    x = 21,652,129,248.89/68,480.44
  6. Step 6: Final answer
    x = 316,179.77

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