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Finding the Third Proportional to 82,395,224 and 124,653,296

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Solution

The third proportional to 82,395,224 and 124,653,296 is: 188,584,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,395,224 : 124,653,296 = 124,653,296 : x
  2. Step 2: Convert to fraction form
    82,395,224/124,653,296 = 124,653,296/x
  3. Step 3: Cross multiply
    82,395,224x = 124,653,296 × 124,653,296
  4. Step 4: Simplify right side
    82,395,224x = 15,538,444,203,663,616
  5. Step 5: Solve for x
    x = 15,538,444,203,663,616/82,395,224
  6. Step 6: Final answer
    x = 188,584,282.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.