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Finding the Third Proportional to 82,496,018 and 171,767,632

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Solution

The third proportional to 82,496,018 and 171,767,632 is: 357,642,951.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,496,018 : 171,767,632 = 171,767,632 : x
  2. Step 2: Convert to fraction form
    82,496,018/171,767,632 = 171,767,632/x
  3. Step 3: Cross multiply
    82,496,018x = 171,767,632 × 171,767,632
  4. Step 4: Simplify right side
    82,496,018x = 29,504,119,402,887,424
  5. Step 5: Solve for x
    x = 29,504,119,402,887,424/82,496,018
  6. Step 6: Final answer
    x = 357,642,951.97

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