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Finding the Third Proportional to 45,904.75 and 97,322.50

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Solution

The third proportional to 45,904.75 and 97,322.50 is: 206,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,904.75 : 97,322.50 = 97,322.50 : x
  2. Step 2: Convert to fraction form
    45,904.75/97,322.50 = 97,322.50/x
  3. Step 3: Cross multiply
    45,904.75x = 97,322.50 × 97,322.50
  4. Step 4: Simplify right side
    45,904.75x = 9,471,669,006.25
  5. Step 5: Solve for x
    x = 9,471,669,006.25/45,904.75
  6. Step 6: Final answer
    x = 206,333.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.