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Finding the Third Proportional to 169,250,697 and 368,548,408

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Solution

The third proportional to 169,250,697 and 368,548,408 is: 802,525,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,250,697 : 368,548,408 = 368,548,408 : x
  2. Step 2: Convert to fraction form
    169,250,697/368,548,408 = 368,548,408/x
  3. Step 3: Cross multiply
    169,250,697x = 368,548,408 × 368,548,408
  4. Step 4: Simplify right side
    169,250,697x = 135,827,929,039,334,464
  5. Step 5: Solve for x
    x = 135,827,929,039,334,464/169,250,697
  6. Step 6: Final answer
    x = 802,525,079.35

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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.