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Finding the Third Proportional to 31,166.02 and 68,893.03

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Solution

The third proportional to 31,166.02 and 68,893.03 is: 152,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166.02 : 68,893.03 = 68,893.03 : x
  2. Step 2: Convert to fraction form
    31,166.02/68,893.03 = 68,893.03/x
  3. Step 3: Cross multiply
    31,166.02x = 68,893.03 × 68,893.03
  4. Step 4: Simplify right side
    31,166.02x = 4,746,249,754.81
  5. Step 5: Solve for x
    x = 4,746,249,754.81/31,166.02
  6. Step 6: Final answer
    x = 152,289.27

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.