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Finding the Third Proportional to 220,992,727.78 and 346,672,373.34

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Solution

The third proportional to 220,992,727.78 and 346,672,373.34 is: 543,826,648.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,992,727.78 : 346,672,373.34 = 346,672,373.34 : x
  2. Step 2: Convert to fraction form
    220,992,727.78/346,672,373.34 = 346,672,373.34/x
  3. Step 3: Cross multiply
    220,992,727.78x = 346,672,373.34 × 346,672,373.34
  4. Step 4: Simplify right side
    220,992,727.78x = 120,181,734,439,788,384
  5. Step 5: Solve for x
    x = 120,181,734,439,788,384/220,992,727.78
  6. Step 6: Final answer
    x = 543,826,648.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.