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Finding the Third Proportional to 47,106.56 and 97,525.69

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Solution

The third proportional to 47,106.56 and 97,525.69 is: 201,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,106.56 : 97,525.69 = 97,525.69 : x
  2. Step 2: Convert to fraction form
    47,106.56/97,525.69 = 97,525.69/x
  3. Step 3: Cross multiply
    47,106.56x = 97,525.69 × 97,525.69
  4. Step 4: Simplify right side
    47,106.56x = 9,511,259,722.35
  5. Step 5: Solve for x
    x = 9,511,259,722.35/47,106.56
  6. Step 6: Final answer
    x = 201,909.44

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.