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Finding the Third Proportional to 45,607.50 and 97,958.25

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Solution

The third proportional to 45,607.50 and 97,958.25 is: 210,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,607.50 : 97,958.25 = 97,958.25 : x
  2. Step 2: Convert to fraction form
    45,607.50/97,958.25 = 97,958.25/x
  3. Step 3: Cross multiply
    45,607.50x = 97,958.25 × 97,958.25
  4. Step 4: Simplify right side
    45,607.50x = 9,595,818,743.06
  5. Step 5: Solve for x
    x = 9,595,818,743.06/45,607.50
  6. Step 6: Final answer
    x = 210,400.02

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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.