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Finding the Third Proportional to 166,107,969 and 363,478,851

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Solution

The third proportional to 166,107,969 and 363,478,851 is: 795,367,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,107,969 : 363,478,851 = 363,478,851 : x
  2. Step 2: Convert to fraction form
    166,107,969/363,478,851 = 363,478,851/x
  3. Step 3: Cross multiply
    166,107,969x = 363,478,851 × 363,478,851
  4. Step 4: Simplify right side
    166,107,969x = 132,116,875,124,280,208
  5. Step 5: Solve for x
    x = 132,116,875,124,280,208/166,107,969
  6. Step 6: Final answer
    x = 795,367,470.44

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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.