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Finding the Third Proportional to 47,875.50 and 102,858.75

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Solution

The third proportional to 47,875.50 and 102,858.75 is: 220,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,875.50 : 102,858.75 = 102,858.75 : x
  2. Step 2: Convert to fraction form
    47,875.50/102,858.75 = 102,858.75/x
  3. Step 3: Cross multiply
    47,875.50x = 102,858.75 × 102,858.75
  4. Step 4: Simplify right side
    47,875.50x = 10,579,922,451.56
  5. Step 5: Solve for x
    x = 10,579,922,451.56/47,875.50
  6. Step 6: Final answer
    x = 220,988.24

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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.