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Finding the Third Proportional to 46,660.25 and 101,096.50

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Solution

The third proportional to 46,660.25 and 101,096.50 is: 219,040.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,660.25 : 101,096.50 = 101,096.50 : x
  2. Step 2: Convert to fraction form
    46,660.25/101,096.50 = 101,096.50/x
  3. Step 3: Cross multiply
    46,660.25x = 101,096.50 × 101,096.50
  4. Step 4: Simplify right side
    46,660.25x = 10,220,502,312.25
  5. Step 5: Solve for x
    x = 10,220,502,312.25/46,660.25
  6. Step 6: Final answer
    x = 219,040.88

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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.