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Finding the Third Proportional to 47,935.50 and 105,187.50

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Solution

The third proportional to 47,935.50 and 105,187.50 is: 230,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,935.50 : 105,187.50 = 105,187.50 : x
  2. Step 2: Convert to fraction form
    47,935.50/105,187.50 = 105,187.50/x
  3. Step 3: Cross multiply
    47,935.50x = 105,187.50 × 105,187.50
  4. Step 4: Simplify right side
    47,935.50x = 11,064,410,156.25
  5. Step 5: Solve for x
    x = 11,064,410,156.25/47,935.50
  6. Step 6: Final answer
    x = 230,818.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.