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Finding the Third Proportional to 181,116,097 and 282,435,805

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Solution

The third proportional to 181,116,097 and 282,435,805 is: 440,435,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,116,097 : 282,435,805 = 282,435,805 : x
  2. Step 2: Convert to fraction form
    181,116,097/282,435,805 = 282,435,805/x
  3. Step 3: Cross multiply
    181,116,097x = 282,435,805 × 282,435,805
  4. Step 4: Simplify right side
    181,116,097x = 79,769,983,945,998,032
  5. Step 5: Solve for x
    x = 79,769,983,945,998,032/181,116,097
  6. Step 6: Final answer
    x = 440,435,639.17

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.