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Finding the Third Proportional to 47,830.08 and 104,271.89

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Solution

The third proportional to 47,830.08 and 104,271.89 is: 227,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,830.08 : 104,271.89 = 104,271.89 : x
  2. Step 2: Convert to fraction form
    47,830.08/104,271.89 = 104,271.89/x
  3. Step 3: Cross multiply
    47,830.08x = 104,271.89 × 104,271.89
  4. Step 4: Simplify right side
    47,830.08x = 10,872,627,174.51
  5. Step 5: Solve for x
    x = 10,872,627,174.51/47,830.08
  6. Step 6: Final answer
    x = 227,317.78

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