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Finding the Third Proportional to 77,263,766 and 163,739,176

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Solution

The third proportional to 77,263,766 and 163,739,176 is: 346,999,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,263,766 : 163,739,176 = 163,739,176 : x
  2. Step 2: Convert to fraction form
    77,263,766/163,739,176 = 163,739,176/x
  3. Step 3: Cross multiply
    77,263,766x = 163,739,176 × 163,739,176
  4. Step 4: Simplify right side
    77,263,766x = 26,810,517,757,158,976
  5. Step 5: Solve for x
    x = 26,810,517,757,158,976/77,263,766
  6. Step 6: Final answer
    x = 346,999,882.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.