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Finding the Third Proportional to 77,173,408 and 160,697,860

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Solution

The third proportional to 77,173,408 and 160,697,860 is: 334,620,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,173,408 : 160,697,860 = 160,697,860 : x
  2. Step 2: Convert to fraction form
    77,173,408/160,697,860 = 160,697,860/x
  3. Step 3: Cross multiply
    77,173,408x = 160,697,860 × 160,697,860
  4. Step 4: Simplify right side
    77,173,408x = 25,823,802,208,579,600
  5. Step 5: Solve for x
    x = 25,823,802,208,579,600/77,173,408
  6. Step 6: Final answer
    x = 334,620,471.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.