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Finding the Third Proportional to 68,435.81 and 146,329.31

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Solution

The third proportional to 68,435.81 and 146,329.31 is: 312,881.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,435.81 : 146,329.31 = 146,329.31 : x
  2. Step 2: Convert to fraction form
    68,435.81/146,329.31 = 146,329.31/x
  3. Step 3: Cross multiply
    68,435.81x = 146,329.31 × 146,329.31
  4. Step 4: Simplify right side
    68,435.81x = 21,412,267,696.72
  5. Step 5: Solve for x
    x = 21,412,267,696.72/68,435.81
  6. Step 6: Final answer
    x = 312,881.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.