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Finding the Third Proportional to 100,311,282 and 203,443,089

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Solution

The third proportional to 100,311,282 and 203,443,089 is: 412,606,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,311,282 : 203,443,089 = 203,443,089 : x
  2. Step 2: Convert to fraction form
    100,311,282/203,443,089 = 203,443,089/x
  3. Step 3: Cross multiply
    100,311,282x = 203,443,089 × 203,443,089
  4. Step 4: Simplify right side
    100,311,282x = 41,389,090,461,861,920
  5. Step 5: Solve for x
    x = 41,389,090,461,861,920/100,311,282
  6. Step 6: Final answer
    x = 412,606,534.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.