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Finding the Third Proportional to 97,786,701 and 207,229,914

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Solution

The third proportional to 97,786,701 and 207,229,914 is: 439,162,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786,701 : 207,229,914 = 207,229,914 : x
  2. Step 2: Convert to fraction form
    97,786,701/207,229,914 = 207,229,914/x
  3. Step 3: Cross multiply
    97,786,701x = 207,229,914 × 207,229,914
  4. Step 4: Simplify right side
    97,786,701x = 42,944,237,256,447,392
  5. Step 5: Solve for x
    x = 42,944,237,256,447,392/97,786,701
  6. Step 6: Final answer
    x = 439,162,348.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.