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Finding the Third Proportional to 82,395,218 and 124,653,282

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Solution

The third proportional to 82,395,218 and 124,653,282 is: 188,584,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,395,218 : 124,653,282 = 124,653,282 : x
  2. Step 2: Convert to fraction form
    82,395,218/124,653,282 = 124,653,282/x
  3. Step 3: Cross multiply
    82,395,218x = 124,653,282 × 124,653,282
  4. Step 4: Simplify right side
    82,395,218x = 15,538,440,713,371,524
  5. Step 5: Solve for x
    x = 15,538,440,713,371,524/82,395,218
  6. Step 6: Final answer
    x = 188,584,253.92

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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.