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Finding the Third Proportional to 108,086.06 and 153,970.31

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Solution

The third proportional to 108,086.06 and 153,970.31 is: 219,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,086.06 : 153,970.31 = 153,970.31 : x
  2. Step 2: Convert to fraction form
    108,086.06/153,970.31 = 153,970.31/x
  3. Step 3: Cross multiply
    108,086.06x = 153,970.31 × 153,970.31
  4. Step 4: Simplify right side
    108,086.06x = 23,706,857,131.35
  5. Step 5: Solve for x
    x = 23,706,857,131.35/108,086.06
  6. Step 6: Final answer
    x = 219,333.16

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.