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Finding the Third Proportional to 77,173,408 and 160,697,864

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Solution

The third proportional to 77,173,408 and 160,697,864 is: 334,620,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,173,408 : 160,697,864 = 160,697,864 : x
  2. Step 2: Convert to fraction form
    77,173,408/160,697,864 = 160,697,864/x
  3. Step 3: Cross multiply
    77,173,408x = 160,697,864 × 160,697,864
  4. Step 4: Simplify right side
    77,173,408x = 25,823,803,494,162,496
  5. Step 5: Solve for x
    x = 25,823,803,494,162,496/77,173,408
  6. Step 6: Final answer
    x = 334,620,488.63

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