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Finding the Third Proportional to 111,327,657 and 169,870,933.50

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Solution

The third proportional to 111,327,657 and 169,870,933.50 is: 259,200,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,327,657 : 169,870,933.50 = 169,870,933.50 : x
  2. Step 2: Convert to fraction form
    111,327,657/169,870,933.50 = 169,870,933.50/x
  3. Step 3: Cross multiply
    111,327,657x = 169,870,933.50 × 169,870,933.50
  4. Step 4: Simplify right side
    111,327,657x = 28,856,134,048,161,424
  5. Step 5: Solve for x
    x = 28,856,134,048,161,424/111,327,657
  6. Step 6: Final answer
    x = 259,200,048.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.