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Finding the Third Proportional to 106,669.41 and 229,154.06

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Solution

The third proportional to 106,669.41 and 229,154.06 is: 492,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,669.41 : 229,154.06 = 229,154.06 : x
  2. Step 2: Convert to fraction form
    106,669.41/229,154.06 = 229,154.06/x
  3. Step 3: Cross multiply
    106,669.41x = 229,154.06 × 229,154.06
  4. Step 4: Simplify right side
    106,669.41x = 52,511,584,360.25
  5. Step 5: Solve for x
    x = 52,511,584,360.25/106,669.41
  6. Step 6: Final answer
    x = 492,283.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.