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Finding the Third Proportional to 82,238,616 and 182,859,587

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Solution

The third proportional to 82,238,616 and 182,859,587 is: 406,592,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,238,616 : 182,859,587 = 182,859,587 : x
  2. Step 2: Convert to fraction form
    82,238,616/182,859,587 = 182,859,587/x
  3. Step 3: Cross multiply
    82,238,616x = 182,859,587 × 182,859,587
  4. Step 4: Simplify right side
    82,238,616x = 33,437,628,557,810,568
  5. Step 5: Solve for x
    x = 33,437,628,557,810,568/82,238,616
  6. Step 6: Final answer
    x = 406,592,792.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.