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Finding the Third Proportional to 96,700,536 and 199,069,452

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Solution

The third proportional to 96,700,536 and 199,069,452 is: 409,807,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,700,536 : 199,069,452 = 199,069,452 : x
  2. Step 2: Convert to fraction form
    96,700,536/199,069,452 = 199,069,452/x
  3. Step 3: Cross multiply
    96,700,536x = 199,069,452 × 199,069,452
  4. Step 4: Simplify right side
    96,700,536x = 39,628,646,719,580,304
  5. Step 5: Solve for x
    x = 39,628,646,719,580,304/96,700,536
  6. Step 6: Final answer
    x = 409,807,932.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.