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Finding the Third Proportional to 99,994.50 and 160,544.81

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Solution

The third proportional to 99,994.50 and 160,544.81 is: 257,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,994.50 : 160,544.81 = 160,544.81 : x
  2. Step 2: Convert to fraction form
    99,994.50/160,544.81 = 160,544.81/x
  3. Step 3: Cross multiply
    99,994.50x = 160,544.81 × 160,544.81
  4. Step 4: Simplify right side
    99,994.50x = 25,774,636,820.66
  5. Step 5: Solve for x
    x = 25,774,636,820.66/99,994.50
  6. Step 6: Final answer
    x = 257,760.55

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.