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Finding the Third Proportional to 111,768,439,065.50 and 243,765,789,339.75

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Solution

The third proportional to 111,768,439,065.50 and 243,765,789,339.75 is: 531,650,621,134.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,768,439,065.50 : 243,765,789,339.75 = 243,765,789,339.75 : x
  2. Step 2: Convert to fraction form
    111,768,439,065.50/243,765,789,339.75 = 243,765,789,339.75/x
  3. Step 3: Cross multiply
    111,768,439,065.50x = 243,765,789,339.75 × 243,765,789,339.75
  4. Step 4: Simplify right side
    111,768,439,065.50x = 59,421,760,052,431,373,205,504
  5. Step 5: Solve for x
    x = 59,421,760,052,431,373,205,504/111,768,439,065.50
  6. Step 6: Final answer
    x = 531,650,621,134.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.