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Finding the Third Proportional to 181,169,639,532 and 270,183,376,960

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Solution

The third proportional to 181,169,639,532 and 270,183,376,960 is: 402,932,066,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,169,639,532 : 270,183,376,960 = 270,183,376,960 : x
  2. Step 2: Convert to fraction form
    181,169,639,532/270,183,376,960 = 270,183,376,960/x
  3. Step 3: Cross multiply
    181,169,639,532x = 270,183,376,960 × 270,183,376,960
  4. Step 4: Simplify right side
    181,169,639,532x = 72,999,057,185,509,461,721,088
  5. Step 5: Solve for x
    x = 72,999,057,185,509,461,721,088/181,169,639,532
  6. Step 6: Final answer
    x = 402,932,066,178.87

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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.