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Finding the Third Proportional to 108,980.44 and 146,453.06

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Solution

The third proportional to 108,980.44 and 146,453.06 is: 196,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,980.44 : 146,453.06 = 146,453.06 : x
  2. Step 2: Convert to fraction form
    108,980.44/146,453.06 = 146,453.06/x
  3. Step 3: Cross multiply
    108,980.44x = 146,453.06 × 146,453.06
  4. Step 4: Simplify right side
    108,980.44x = 21,448,499,515.63
  5. Step 5: Solve for x
    x = 21,448,499,515.63/108,980.44
  6. Step 6: Final answer
    x = 196,810.55

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.