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Finding the Third Proportional to 77,263,758 and 163,739,159

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Solution

The third proportional to 77,263,758 and 163,739,159 is: 346,999,846.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,263,758 : 163,739,159 = 163,739,159 : x
  2. Step 2: Convert to fraction form
    77,263,758/163,739,159 = 163,739,159/x
  3. Step 3: Cross multiply
    77,263,758x = 163,739,159 × 163,739,159
  4. Step 4: Simplify right side
    77,263,758x = 26,810,512,190,027,280
  5. Step 5: Solve for x
    x = 26,810,512,190,027,280/77,263,758
  6. Step 6: Final answer
    x = 346,999,846.81

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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.