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Finding the Third Proportional to 118,116.98 and 182,398.08

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Solution

The third proportional to 118,116.98 and 182,398.08 is: 281,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,116.98 : 182,398.08 = 182,398.08 : x
  2. Step 2: Convert to fraction form
    118,116.98/182,398.08 = 182,398.08/x
  3. Step 3: Cross multiply
    118,116.98x = 182,398.08 × 182,398.08
  4. Step 4: Simplify right side
    118,116.98x = 33,269,058,903.69
  5. Step 5: Solve for x
    x = 33,269,058,903.69/118,116.98
  6. Step 6: Final answer
    x = 281,661.94

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.