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Finding the Third Proportional to 47,012.75 and 97,913.75

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Solution

The third proportional to 47,012.75 and 97,913.75 is: 203,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,012.75 : 97,913.75 = 97,913.75 : x
  2. Step 2: Convert to fraction form
    47,012.75/97,913.75 = 97,913.75/x
  3. Step 3: Cross multiply
    47,012.75x = 97,913.75 × 97,913.75
  4. Step 4: Simplify right side
    47,012.75x = 9,587,102,439.06
  5. Step 5: Solve for x
    x = 9,587,102,439.06/47,012.75
  6. Step 6: Final answer
    x = 203,925.58

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.