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Finding the Third Proportional to 47,880 and 102,966.75

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Solution

The third proportional to 47,880 and 102,966.75 is: 221,431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,880 : 102,966.75 = 102,966.75 : x
  2. Step 2: Convert to fraction form
    47,880/102,966.75 = 102,966.75/x
  3. Step 3: Cross multiply
    47,880x = 102,966.75 × 102,966.75
  4. Step 4: Simplify right side
    47,880x = 10,602,151,605.56
  5. Step 5: Solve for x
    x = 10,602,151,605.56/47,880
  6. Step 6: Final answer
    x = 221,431.74

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Why These Related Problems?

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