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Finding the Third Proportional to 45,384.75 and 97,755.75

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Solution

The third proportional to 45,384.75 and 97,755.75 is: 210,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,384.75 : 97,755.75 = 97,755.75 : x
  2. Step 2: Convert to fraction form
    45,384.75/97,755.75 = 97,755.75/x
  3. Step 3: Cross multiply
    45,384.75x = 97,755.75 × 97,755.75
  4. Step 4: Simplify right side
    45,384.75x = 9,556,186,658.06
  5. Step 5: Solve for x
    x = 9,556,186,658.06/45,384.75
  6. Step 6: Final answer
    x = 210,559.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.