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Finding the Third Proportional to 114,251,022 and 174,053,529

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Solution

The third proportional to 114,251,022 and 174,053,529 is: 265,158,511.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,251,022 : 174,053,529 = 174,053,529 : x
  2. Step 2: Convert to fraction form
    114,251,022/174,053,529 = 174,053,529/x
  3. Step 3: Cross multiply
    114,251,022x = 174,053,529 × 174,053,529
  4. Step 4: Simplify right side
    114,251,022x = 30,294,630,957,353,840
  5. Step 5: Solve for x
    x = 30,294,630,957,353,840/114,251,022
  6. Step 6: Final answer
    x = 265,158,511.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.