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Finding the Third Proportional to 107,665.45 and 160,448.34

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Solution

The third proportional to 107,665.45 and 160,448.34 is: 239,108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,665.45 : 160,448.34 = 160,448.34 : x
  2. Step 2: Convert to fraction form
    107,665.45/160,448.34 = 160,448.34/x
  3. Step 3: Cross multiply
    107,665.45x = 160,448.34 × 160,448.34
  4. Step 4: Simplify right side
    107,665.45x = 25,743,671,012.12
  5. Step 5: Solve for x
    x = 25,743,671,012.12/107,665.45
  6. Step 6: Final answer
    x = 239,108.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.