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Finding the Third Proportional to 47,053.50 and 100,486.50

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Solution

The third proportional to 47,053.50 and 100,486.50 is: 214,596.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,053.50 : 100,486.50 = 100,486.50 : x
  2. Step 2: Convert to fraction form
    47,053.50/100,486.50 = 100,486.50/x
  3. Step 3: Cross multiply
    47,053.50x = 100,486.50 × 100,486.50
  4. Step 4: Simplify right side
    47,053.50x = 10,097,536,682.25
  5. Step 5: Solve for x
    x = 10,097,536,682.25/47,053.50
  6. Step 6: Final answer
    x = 214,596.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.