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Finding the Third Proportional to 67,983 and 148,216.50

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Solution

The third proportional to 67,983 and 148,216.50 is: 323,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,983 : 148,216.50 = 148,216.50 : x
  2. Step 2: Convert to fraction form
    67,983/148,216.50 = 148,216.50/x
  3. Step 3: Cross multiply
    67,983x = 148,216.50 × 148,216.50
  4. Step 4: Simplify right side
    67,983x = 21,968,130,872.25
  5. Step 5: Solve for x
    x = 21,968,130,872.25/67,983
  6. Step 6: Final answer
    x = 323,141.53

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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.