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Finding the Third Proportional to 63,977.63 and 96,847.31

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Solution

The third proportional to 63,977.63 and 96,847.31 is: 146,604.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,977.63 : 96,847.31 = 96,847.31 : x
  2. Step 2: Convert to fraction form
    63,977.63/96,847.31 = 96,847.31/x
  3. Step 3: Cross multiply
    63,977.63x = 96,847.31 × 96,847.31
  4. Step 4: Simplify right side
    63,977.63x = 9,379,401,938.47
  5. Step 5: Solve for x
    x = 9,379,401,938.47/63,977.63
  6. Step 6: Final answer
    x = 146,604.41

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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.