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Finding the Third Proportional to 47,054.67 and 102,586.10

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Solution

The third proportional to 47,054.67 and 102,586.10 is: 223,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,054.67 : 102,586.10 = 102,586.10 : x
  2. Step 2: Convert to fraction form
    47,054.67/102,586.10 = 102,586.10/x
  3. Step 3: Cross multiply
    47,054.67x = 102,586.10 × 102,586.10
  4. Step 4: Simplify right side
    47,054.67x = 10,523,908,834.88
  5. Step 5: Solve for x
    x = 10,523,908,834.88/47,054.67
  6. Step 6: Final answer
    x = 223,652.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.