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Finding the Third Proportional to 48,742.88 and 101,307.94

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Solution

The third proportional to 48,742.88 and 101,307.94 is: 210,559.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,742.88 : 101,307.94 = 101,307.94 : x
  2. Step 2: Convert to fraction form
    48,742.88/101,307.94 = 101,307.94/x
  3. Step 3: Cross multiply
    48,742.88x = 101,307.94 × 101,307.94
  4. Step 4: Simplify right side
    48,742.88x = 10,263,298,200.50
  5. Step 5: Solve for x
    x = 10,263,298,200.50/48,742.88
  6. Step 6: Final answer
    x = 210,559.97

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.