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Finding the Third Proportional to 200,977,606 and 435,343,764

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Solution

The third proportional to 200,977,606 and 435,343,764 is: 943,011,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,977,606 : 435,343,764 = 435,343,764 : x
  2. Step 2: Convert to fraction form
    200,977,606/435,343,764 = 435,343,764/x
  3. Step 3: Cross multiply
    200,977,606x = 435,343,764 × 435,343,764
  4. Step 4: Simplify right side
    200,977,606x = 189,524,192,853,687,680
  5. Step 5: Solve for x
    x = 189,524,192,853,687,680/200,977,606
  6. Step 6: Final answer
    x = 943,011,495.79

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