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Finding the Third Proportional to 47,340.07 and 103,586.98

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Solution

The third proportional to 47,340.07 and 103,586.98 is: 226,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,340.07 : 103,586.98 = 103,586.98 : x
  2. Step 2: Convert to fraction form
    47,340.07/103,586.98 = 103,586.98/x
  3. Step 3: Cross multiply
    47,340.07x = 103,586.98 × 103,586.98
  4. Step 4: Simplify right side
    47,340.07x = 10,730,261,713.36
  5. Step 5: Solve for x
    x = 10,730,261,713.36/47,340.07
  6. Step 6: Final answer
    x = 226,663.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.