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Finding the Third Proportional to 111,168,189 and 241,473,567

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Solution

The third proportional to 111,168,189 and 241,473,567 is: 524,515,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,168,189 : 241,473,567 = 241,473,567 : x
  2. Step 2: Convert to fraction form
    111,168,189/241,473,567 = 241,473,567/x
  3. Step 3: Cross multiply
    111,168,189x = 241,473,567 × 241,473,567
  4. Step 4: Simplify right side
    111,168,189x = 58,309,483,559,703,488
  5. Step 5: Solve for x
    x = 58,309,483,559,703,488/111,168,189
  6. Step 6: Final answer
    x = 524,515,907.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.