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Finding the Third Proportional to 169,660,142,733 and 369,107,542,500

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Solution

The third proportional to 169,660,142,733 and 369,107,542,500 is: 803,019,352,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,660,142,733 : 369,107,542,500 = 369,107,542,500 : x
  2. Step 2: Convert to fraction form
    169,660,142,733/369,107,542,500 = 369,107,542,500/x
  3. Step 3: Cross multiply
    169,660,142,733x = 369,107,542,500 × 369,107,542,500
  4. Step 4: Simplify right side
    169,660,142,733x = 136,240,377,930,389,303,328,768
  5. Step 5: Solve for x
    x = 136,240,377,930,389,303,328,768/169,660,142,733
  6. Step 6: Final answer
    x = 803,019,352,310.67

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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.