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Finding the Third Proportional to 97,650.56 and 147,526.31

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Solution

The third proportional to 97,650.56 and 147,526.31 is: 222,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,650.56 : 147,526.31 = 147,526.31 : x
  2. Step 2: Convert to fraction form
    97,650.56/147,526.31 = 147,526.31/x
  3. Step 3: Cross multiply
    97,650.56x = 147,526.31 × 147,526.31
  4. Step 4: Simplify right side
    97,650.56x = 21,764,012,879.85
  5. Step 5: Solve for x
    x = 21,764,012,879.85/97,650.56
  6. Step 6: Final answer
    x = 222,876.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.