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Finding the Third Proportional to 89,603,789 and 194,976,395

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Solution

The third proportional to 89,603,789 and 194,976,395 is: 424,265,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,603,789 : 194,976,395 = 194,976,395 : x
  2. Step 2: Convert to fraction form
    89,603,789/194,976,395 = 194,976,395/x
  3. Step 3: Cross multiply
    89,603,789x = 194,976,395 × 194,976,395
  4. Step 4: Simplify right side
    89,603,789x = 38,015,794,607,196,024
  5. Step 5: Solve for x
    x = 38,015,794,607,196,024/89,603,789
  6. Step 6: Final answer
    x = 424,265,480.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.