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Finding the Third Proportional to 45,625.50 and 97,556.50

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Solution

The third proportional to 45,625.50 and 97,556.50 is: 208,595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,625.50 : 97,556.50 = 97,556.50 : x
  2. Step 2: Convert to fraction form
    45,625.50/97,556.50 = 97,556.50/x
  3. Step 3: Cross multiply
    45,625.50x = 97,556.50 × 97,556.50
  4. Step 4: Simplify right side
    45,625.50x = 9,517,270,692.25
  5. Step 5: Solve for x
    x = 9,517,270,692.25/45,625.50
  6. Step 6: Final answer
    x = 208,595.43

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