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Finding the Third Proportional to 47,000.50 and 97,874.25

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Solution

The third proportional to 47,000.50 and 97,874.25 is: 203,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,000.50 : 97,874.25 = 97,874.25 : x
  2. Step 2: Convert to fraction form
    47,000.50/97,874.25 = 97,874.25/x
  3. Step 3: Cross multiply
    47,000.50x = 97,874.25 × 97,874.25
  4. Step 4: Simplify right side
    47,000.50x = 9,579,368,813.06
  5. Step 5: Solve for x
    x = 9,579,368,813.06/47,000.50
  6. Step 6: Final answer
    x = 203,814.19

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Why These Related Problems?

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