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Finding the Third Proportional to 46,882.50 and 101,094.50

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Solution

The third proportional to 46,882.50 and 101,094.50 is: 217,993.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,882.50 : 101,094.50 = 101,094.50 : x
  2. Step 2: Convert to fraction form
    46,882.50/101,094.50 = 101,094.50/x
  3. Step 3: Cross multiply
    46,882.50x = 101,094.50 × 101,094.50
  4. Step 4: Simplify right side
    46,882.50x = 10,220,097,930.25
  5. Step 5: Solve for x
    x = 10,220,097,930.25/46,882.50
  6. Step 6: Final answer
    x = 217,993.88

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.