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Finding the Third Proportional to 203,728,785 and 441,909,861

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Solution

The third proportional to 203,728,785 and 441,909,861 is: 958,550,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,728,785 : 441,909,861 = 441,909,861 : x
  2. Step 2: Convert to fraction form
    203,728,785/441,909,861 = 441,909,861/x
  3. Step 3: Cross multiply
    203,728,785x = 441,909,861 × 441,909,861
  4. Step 4: Simplify right side
    203,728,785x = 195,284,325,249,039,328
  5. Step 5: Solve for x
    x = 195,284,325,249,039,328/203,728,785
  6. Step 6: Final answer
    x = 958,550,482.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.