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Finding the Third Proportional to 164,536,206,970.50 and 231,703,236,558

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Solution

The third proportional to 164,536,206,970.50 and 231,703,236,558 is: 326,289,215,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,536,206,970.50 : 231,703,236,558 = 231,703,236,558 : x
  2. Step 2: Convert to fraction form
    164,536,206,970.50/231,703,236,558 = 231,703,236,558/x
  3. Step 3: Cross multiply
    164,536,206,970.50x = 231,703,236,558 × 231,703,236,558
  4. Step 4: Simplify right side
    164,536,206,970.50x = 53,686,389,831,452,506,193,920
  5. Step 5: Solve for x
    x = 53,686,389,831,452,506,193,920/164,536,206,970.50
  6. Step 6: Final answer
    x = 326,289,215,121.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.