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Finding the Third Proportional to 166,634,389,440 and 365,103,846,864

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Solution

The third proportional to 166,634,389,440 and 365,103,846,864 is: 799,959,836,879.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,634,389,440 : 365,103,846,864 = 365,103,846,864 : x
  2. Step 2: Convert to fraction form
    166,634,389,440/365,103,846,864 = 365,103,846,864/x
  3. Step 3: Cross multiply
    166,634,389,440x = 365,103,846,864 × 365,103,846,864
  4. Step 4: Simplify right side
    166,634,389,440x = 133,300,818,994,891,163,959,296
  5. Step 5: Solve for x
    x = 133,300,818,994,891,163,959,296/166,634,389,440
  6. Step 6: Final answer
    x = 799,959,836,879.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.