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Finding the Third Proportional to 111,922,200 and 240,850,509.75

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Solution

The third proportional to 111,922,200 and 240,850,509.75 is: 518,297,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,922,200 : 240,850,509.75 = 240,850,509.75 : x
  2. Step 2: Convert to fraction form
    111,922,200/240,850,509.75 = 240,850,509.75/x
  3. Step 3: Cross multiply
    111,922,200x = 240,850,509.75 × 240,850,509.75
  4. Step 4: Simplify right side
    111,922,200x = 58,008,968,046,834,848
  5. Step 5: Solve for x
    x = 58,008,968,046,834,848/111,922,200
  6. Step 6: Final answer
    x = 518,297,246.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.