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Finding the Third Proportional to 47,665.50 and 102,718.50

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Solution

The third proportional to 47,665.50 and 102,718.50 is: 221,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,665.50 : 102,718.50 = 102,718.50 : x
  2. Step 2: Convert to fraction form
    47,665.50/102,718.50 = 102,718.50/x
  3. Step 3: Cross multiply
    47,665.50x = 102,718.50 × 102,718.50
  4. Step 4: Simplify right side
    47,665.50x = 10,551,090,242.25
  5. Step 5: Solve for x
    x = 10,551,090,242.25/47,665.50
  6. Step 6: Final answer
    x = 221,356.96

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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.