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Finding the Third Proportional to 230,880,794 and 346,625,157

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Solution

The third proportional to 230,880,794 and 346,625,157 is: 520,394,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,880,794 : 346,625,157 = 346,625,157 : x
  2. Step 2: Convert to fraction form
    230,880,794/346,625,157 = 346,625,157/x
  3. Step 3: Cross multiply
    230,880,794x = 346,625,157 × 346,625,157
  4. Step 4: Simplify right side
    230,880,794x = 120,148,999,465,274,656
  5. Step 5: Solve for x
    x = 120,148,999,465,274,656/230,880,794
  6. Step 6: Final answer
    x = 520,394,084.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.