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Finding the Third Proportional to 176,211,256 and 377,931,040

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Solution

The third proportional to 176,211,256 and 377,931,040 is: 810,571,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,211,256 : 377,931,040 = 377,931,040 : x
  2. Step 2: Convert to fraction form
    176,211,256/377,931,040 = 377,931,040/x
  3. Step 3: Cross multiply
    176,211,256x = 377,931,040 × 377,931,040
  4. Step 4: Simplify right side
    176,211,256x = 142,831,870,995,481,600
  5. Step 5: Solve for x
    x = 142,831,870,995,481,600/176,211,256
  6. Step 6: Final answer
    x = 810,571,777.52

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.