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Finding the Third Proportional to 167,949,069,216 and 370,131,508,416

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Solution

The third proportional to 167,949,069,216 and 370,131,508,416 is: 815,707,608,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,949,069,216 : 370,131,508,416 = 370,131,508,416 : x
  2. Step 2: Convert to fraction form
    167,949,069,216/370,131,508,416 = 370,131,508,416/x
  3. Step 3: Cross multiply
    167,949,069,216x = 370,131,508,416 × 370,131,508,416
  4. Step 4: Simplify right side
    167,949,069,216x = 136,997,333,522,303,479,185,408
  5. Step 5: Solve for x
    x = 136,997,333,522,303,479,185,408/167,949,069,216
  6. Step 6: Final answer
    x = 815,707,608,037.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.