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Finding the Third Proportional to 200,977,611 and 435,343,775

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Solution

The third proportional to 200,977,611 and 435,343,775 is: 943,011,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,977,611 : 435,343,775 = 435,343,775 : x
  2. Step 2: Convert to fraction form
    200,977,611/435,343,775 = 435,343,775/x
  3. Step 3: Cross multiply
    200,977,611x = 435,343,775 × 435,343,775
  4. Step 4: Simplify right side
    200,977,611x = 189,524,202,431,250,624
  5. Step 5: Solve for x
    x = 189,524,202,431,250,624/200,977,611
  6. Step 6: Final answer
    x = 943,011,519.98

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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.