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Finding the Third Proportional to 106,918.31 and 248,611.78

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Solution

The third proportional to 106,918.31 and 248,611.78 is: 578,084.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,918.31 : 248,611.78 = 248,611.78 : x
  2. Step 2: Convert to fraction form
    106,918.31/248,611.78 = 248,611.78/x
  3. Step 3: Cross multiply
    106,918.31x = 248,611.78 × 248,611.78
  4. Step 4: Simplify right side
    106,918.31x = 61,807,817,776.30
  5. Step 5: Solve for x
    x = 61,807,817,776.30/106,918.31
  6. Step 6: Final answer
    x = 578,084.49

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.