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Finding the Third Proportional to 47,610 and 102,398.63

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Solution

The third proportional to 47,610 and 102,398.63 is: 220,236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,610 : 102,398.63 = 102,398.63 : x
  2. Step 2: Convert to fraction form
    47,610/102,398.63 = 102,398.63/x
  3. Step 3: Cross multiply
    47,610x = 102,398.63 × 102,398.63
  4. Step 4: Simplify right side
    47,610x = 10,485,478,401.89
  5. Step 5: Solve for x
    x = 10,485,478,401.89/47,610
  6. Step 6: Final answer
    x = 220,236.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.