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Finding the Third Proportional to 82,496,016 and 171,767,628

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Solution

The third proportional to 82,496,016 and 171,767,628 is: 357,642,943.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,496,016 : 171,767,628 = 171,767,628 : x
  2. Step 2: Convert to fraction form
    82,496,016/171,767,628 = 171,767,628/x
  3. Step 3: Cross multiply
    82,496,016x = 171,767,628 × 171,767,628
  4. Step 4: Simplify right side
    82,496,016x = 29,504,118,028,746,384
  5. Step 5: Solve for x
    x = 29,504,118,028,746,384/82,496,016
  6. Step 6: Final answer
    x = 357,642,943.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.