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Finding the Third Proportional to 99,542,698 and 207,031,494

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Solution

The third proportional to 99,542,698 and 207,031,494 is: 430,589,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542,698 : 207,031,494 = 207,031,494 : x
  2. Step 2: Convert to fraction form
    99,542,698/207,031,494 = 207,031,494/x
  3. Step 3: Cross multiply
    99,542,698x = 207,031,494 × 207,031,494
  4. Step 4: Simplify right side
    99,542,698x = 42,862,039,507,872,032
  5. Step 5: Solve for x
    x = 42,862,039,507,872,032/99,542,698
  6. Step 6: Final answer
    x = 430,589,489.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.