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Finding the Third Proportional to 117,665,796 and 181,461,077

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Solution

The third proportional to 117,665,796 and 181,461,077 is: 279,844,471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,665,796 : 181,461,077 = 181,461,077 : x
  2. Step 2: Convert to fraction form
    117,665,796/181,461,077 = 181,461,077/x
  3. Step 3: Cross multiply
    117,665,796x = 181,461,077 × 181,461,077
  4. Step 4: Simplify right side
    117,665,796x = 32,928,122,465,999,928
  5. Step 5: Solve for x
    x = 32,928,122,465,999,928/117,665,796
  6. Step 6: Final answer
    x = 279,844,471.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.