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Finding the Third Proportional to 45,314.25 and 97,191.75

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Solution

The third proportional to 45,314.25 and 97,191.75 is: 208,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,314.25 : 97,191.75 = 97,191.75 : x
  2. Step 2: Convert to fraction form
    45,314.25/97,191.75 = 97,191.75/x
  3. Step 3: Cross multiply
    45,314.25x = 97,191.75 × 97,191.75
  4. Step 4: Simplify right side
    45,314.25x = 9,446,236,268.06
  5. Step 5: Solve for x
    x = 9,446,236,268.06/45,314.25
  6. Step 6: Final answer
    x = 208,460.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.