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Finding the Third Proportional to 265,465,743 and 369,108,894

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Solution

The third proportional to 265,465,743 and 369,108,894 is: 513,216,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,465,743 : 369,108,894 = 369,108,894 : x
  2. Step 2: Convert to fraction form
    265,465,743/369,108,894 = 369,108,894/x
  3. Step 3: Cross multiply
    265,465,743x = 369,108,894 × 369,108,894
  4. Step 4: Simplify right side
    265,465,743x = 136,241,375,629,903,232
  5. Step 5: Solve for x
    x = 136,241,375,629,903,232/265,465,743
  6. Step 6: Final answer
    x = 513,216,410.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.