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Finding the Third Proportional to 111,396,172 and 170,296,296

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Solution

The third proportional to 111,396,172 and 170,296,296 is: 260,339,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,396,172 : 170,296,296 = 170,296,296 : x
  2. Step 2: Convert to fraction form
    111,396,172/170,296,296 = 170,296,296/x
  3. Step 3: Cross multiply
    111,396,172x = 170,296,296 × 170,296,296
  4. Step 4: Simplify right side
    111,396,172x = 29,000,828,431,319,616
  5. Step 5: Solve for x
    x = 29,000,828,431,319,616/111,396,172
  6. Step 6: Final answer
    x = 260,339,542.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.