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Finding the Third Proportional to 129,593,258 and 283,389,406

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Solution

The third proportional to 129,593,258 and 283,389,406 is: 619,704,733.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,593,258 : 283,389,406 = 283,389,406 : x
  2. Step 2: Convert to fraction form
    129,593,258/283,389,406 = 283,389,406/x
  3. Step 3: Cross multiply
    129,593,258x = 283,389,406 × 283,389,406
  4. Step 4: Simplify right side
    129,593,258x = 80,309,555,433,032,832
  5. Step 5: Solve for x
    x = 80,309,555,433,032,832/129,593,258
  6. Step 6: Final answer
    x = 619,704,733.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.