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Finding the Third Proportional to 31,295.11 and 64,777.22

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Solution

The third proportional to 31,295.11 and 64,777.22 is: 134,081.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.11 : 64,777.22 = 64,777.22 : x
  2. Step 2: Convert to fraction form
    31,295.11/64,777.22 = 64,777.22/x
  3. Step 3: Cross multiply
    31,295.11x = 64,777.22 × 64,777.22
  4. Step 4: Simplify right side
    31,295.11x = 4,196,088,068.99
  5. Step 5: Solve for x
    x = 4,196,088,068.99/31,295.11
  6. Step 6: Final answer
    x = 134,081.27

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.