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Finding the Third Proportional to 111,168,134 and 241,473,466

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Solution

The third proportional to 111,168,134 and 241,473,466 is: 524,515,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,168,134 : 241,473,466 = 241,473,466 : x
  2. Step 2: Convert to fraction form
    111,168,134/241,473,466 = 241,473,466/x
  3. Step 3: Cross multiply
    111,168,134x = 241,473,466 × 241,473,466
  4. Step 4: Simplify right side
    111,168,134x = 58,309,434,782,053,152
  5. Step 5: Solve for x
    x = 58,309,434,782,053,152/111,168,134
  6. Step 6: Final answer
    x = 524,515,728.42

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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.