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Finding the Third Proportional to 64,922.77 and 97,811.30

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Solution

The third proportional to 64,922.77 and 97,811.30 is: 147,360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,922.77 : 97,811.30 = 97,811.30 : x
  2. Step 2: Convert to fraction form
    64,922.77/97,811.30 = 97,811.30/x
  3. Step 3: Cross multiply
    64,922.77x = 97,811.30 × 97,811.30
  4. Step 4: Simplify right side
    64,922.77x = 9,567,049,796.37
  5. Step 5: Solve for x
    x = 9,567,049,796.37/64,922.77
  6. Step 6: Final answer
    x = 147,360.48

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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.