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Finding the Third Proportional to 47,412 and 102,295.50

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Solution

The third proportional to 47,412 and 102,295.50 is: 220,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412 : 102,295.50 = 102,295.50 : x
  2. Step 2: Convert to fraction form
    47,412/102,295.50 = 102,295.50/x
  3. Step 3: Cross multiply
    47,412x = 102,295.50 × 102,295.50
  4. Step 4: Simplify right side
    47,412x = 10,464,369,320.25
  5. Step 5: Solve for x
    x = 10,464,369,320.25/47,412
  6. Step 6: Final answer
    x = 220,711.41

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Why These Related Problems?

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