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Finding the Third Proportional to 46,320.50 and 101,116

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Solution

The third proportional to 46,320.50 and 101,116 is: 220,732.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,320.50 : 101,116 = 101,116 : x
  2. Step 2: Convert to fraction form
    46,320.50/101,116 = 101,116/x
  3. Step 3: Cross multiply
    46,320.50x = 101,116 × 101,116
  4. Step 4: Simplify right side
    46,320.50x = 10,224,445,456
  5. Step 5: Solve for x
    x = 10,224,445,456/46,320.50
  6. Step 6: Final answer
    x = 220,732.62

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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.