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Finding the Third Proportional to 82,395,176 and 124,653,214

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Solution

The third proportional to 82,395,176 and 124,653,214 is: 188,584,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,395,176 : 124,653,214 = 124,653,214 : x
  2. Step 2: Convert to fraction form
    82,395,176/124,653,214 = 124,653,214/x
  3. Step 3: Cross multiply
    82,395,176x = 124,653,214 × 124,653,214
  4. Step 4: Simplify right side
    82,395,176x = 15,538,423,760,529,796
  5. Step 5: Solve for x
    x = 15,538,423,760,529,796/82,395,176
  6. Step 6: Final answer
    x = 188,584,144.30

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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.