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Finding the Third Proportional to 166,393,260 and 371,024,964

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Solution

The third proportional to 166,393,260 and 371,024,964 is: 827,314,302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,393,260 : 371,024,964 = 371,024,964 : x
  2. Step 2: Convert to fraction form
    166,393,260/371,024,964 = 371,024,964/x
  3. Step 3: Cross multiply
    166,393,260x = 371,024,964 × 371,024,964
  4. Step 4: Simplify right side
    166,393,260x = 137,659,523,911,201,296
  5. Step 5: Solve for x
    x = 137,659,523,911,201,296/166,393,260
  6. Step 6: Final answer
    x = 827,314,302.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.