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Finding the Third Proportional to 202,266,873 and 435,231,834.75

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Solution

The third proportional to 202,266,873 and 435,231,834.75 is: 936,518,902.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,266,873 : 435,231,834.75 = 435,231,834.75 : x
  2. Step 2: Convert to fraction form
    202,266,873/435,231,834.75 = 435,231,834.75/x
  3. Step 3: Cross multiply
    202,266,873x = 435,231,834.75 × 435,231,834.75
  4. Step 4: Simplify right side
    202,266,873x = 189,426,749,979,851,296
  5. Step 5: Solve for x
    x = 189,426,749,979,851,296/202,266,873
  6. Step 6: Final answer
    x = 936,518,902.83

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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.