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Finding the Third Proportional to 82,395,205 and 124,653,264

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Solution

The third proportional to 82,395,205 and 124,653,264 is: 188,584,229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,395,205 : 124,653,264 = 124,653,264 : x
  2. Step 2: Convert to fraction form
    82,395,205/124,653,264 = 124,653,264/x
  3. Step 3: Cross multiply
    82,395,205x = 124,653,264 × 124,653,264
  4. Step 4: Simplify right side
    82,395,205x = 15,538,436,225,853,696
  5. Step 5: Solve for x
    x = 15,538,436,225,853,696/82,395,205
  6. Step 6: Final answer
    x = 188,584,229.21

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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.