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Finding the Third Proportional to 181,169,639,520 and 270,183,376,944

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Solution

The third proportional to 181,169,639,520 and 270,183,376,944 is: 402,932,066,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,169,639,520 : 270,183,376,944 = 270,183,376,944 : x
  2. Step 2: Convert to fraction form
    181,169,639,520/270,183,376,944 = 270,183,376,944/x
  3. Step 3: Cross multiply
    181,169,639,520x = 270,183,376,944 × 270,183,376,944
  4. Step 4: Simplify right side
    181,169,639,520x = 72,999,057,176,863,591,890,944
  5. Step 5: Solve for x
    x = 72,999,057,176,863,591,890,944/181,169,639,520
  6. Step 6: Final answer
    x = 402,932,066,157.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.