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Finding the Third Proportional to 195,157,964 and 260,175,264

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Solution

The third proportional to 195,157,964 and 260,175,264 is: 346,853,218.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,157,964 : 260,175,264 = 260,175,264 : x
  2. Step 2: Convert to fraction form
    195,157,964/260,175,264 = 260,175,264/x
  3. Step 3: Cross multiply
    195,157,964x = 260,175,264 × 260,175,264
  4. Step 4: Simplify right side
    195,157,964x = 67,691,167,997,469,696
  5. Step 5: Solve for x
    x = 67,691,167,997,469,696/195,157,964
  6. Step 6: Final answer
    x = 346,853,218.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.