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Finding the Third Proportional to 47,012.91 and 100,586.81

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Solution

The third proportional to 47,012.91 and 100,586.81 is: 215,211.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,012.91 : 100,586.81 = 100,586.81 : x
  2. Step 2: Convert to fraction form
    47,012.91/100,586.81 = 100,586.81/x
  3. Step 3: Cross multiply
    47,012.91x = 100,586.81 × 100,586.81
  4. Step 4: Simplify right side
    47,012.91x = 10,117,706,848.91
  5. Step 5: Solve for x
    x = 10,117,706,848.91/47,012.91
  6. Step 6: Final answer
    x = 215,211.26

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