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Finding the Third Proportional to 31,341.30 and 68,395.01

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Solution

The third proportional to 31,341.30 and 68,395.01 is: 149,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,341.30 : 68,395.01 = 68,395.01 : x
  2. Step 2: Convert to fraction form
    31,341.30/68,395.01 = 68,395.01/x
  3. Step 3: Cross multiply
    31,341.30x = 68,395.01 × 68,395.01
  4. Step 4: Simplify right side
    31,341.30x = 4,677,877,093.67
  5. Step 5: Solve for x
    x = 4,677,877,093.67/31,341.30
  6. Step 6: Final answer
    x = 149,255.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.