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Finding the Third Proportional to 48,652.31 and 105,300.94

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Solution

The third proportional to 48,652.31 and 105,300.94 is: 227,908.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,652.31 : 105,300.94 = 105,300.94 : x
  2. Step 2: Convert to fraction form
    48,652.31/105,300.94 = 105,300.94/x
  3. Step 3: Cross multiply
    48,652.31x = 105,300.94 × 105,300.94
  4. Step 4: Simplify right side
    48,652.31x = 11,088,287,438.38
  5. Step 5: Solve for x
    x = 11,088,287,438.38/48,652.31
  6. Step 6: Final answer
    x = 227,908.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.