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Finding the Third Proportional to 47,395 and 109,721.50

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Solution

The third proportional to 47,395 and 109,721.50 is: 254,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,395 : 109,721.50 = 109,721.50 : x
  2. Step 2: Convert to fraction form
    47,395/109,721.50 = 109,721.50/x
  3. Step 3: Cross multiply
    47,395x = 109,721.50 × 109,721.50
  4. Step 4: Simplify right side
    47,395x = 12,038,807,562.25
  5. Step 5: Solve for x
    x = 12,038,807,562.25/47,395
  6. Step 6: Final answer
    x = 254,010.08

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.