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Finding the Third Proportional to 47,398.50 and 101,767.50

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Solution

The third proportional to 47,398.50 and 101,767.50 is: 218,501.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,398.50 : 101,767.50 = 101,767.50 : x
  2. Step 2: Convert to fraction form
    47,398.50/101,767.50 = 101,767.50/x
  3. Step 3: Cross multiply
    47,398.50x = 101,767.50 × 101,767.50
  4. Step 4: Simplify right side
    47,398.50x = 10,356,624,056.25
  5. Step 5: Solve for x
    x = 10,356,624,056.25/47,398.50
  6. Step 6: Final answer
    x = 218,501.09

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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.