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Finding the Third Proportional to 47,108.50 and 101,602.75

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Solution

The third proportional to 47,108.50 and 101,602.75 is: 219,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,108.50 : 101,602.75 = 101,602.75 : x
  2. Step 2: Convert to fraction form
    47,108.50/101,602.75 = 101,602.75/x
  3. Step 3: Cross multiply
    47,108.50x = 101,602.75 × 101,602.75
  4. Step 4: Simplify right side
    47,108.50x = 10,323,118,807.56
  5. Step 5: Solve for x
    x = 10,323,118,807.56/47,108.50
  6. Step 6: Final answer
    x = 219,134.95

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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.