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Finding the Third Proportional to 108,268,817 and 255,503,416

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Solution

The third proportional to 108,268,817 and 255,503,416 is: 602,962,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,268,817 : 255,503,416 = 255,503,416 : x
  2. Step 2: Convert to fraction form
    108,268,817/255,503,416 = 255,503,416/x
  3. Step 3: Cross multiply
    108,268,817x = 255,503,416 × 255,503,416
  4. Step 4: Simplify right side
    108,268,817x = 65,281,995,587,669,056
  5. Step 5: Solve for x
    x = 65,281,995,587,669,056/108,268,817
  6. Step 6: Final answer
    x = 602,962,121.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.