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Finding the Third Proportional to 117,665,760 and 181,461,024

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Solution

The third proportional to 117,665,760 and 181,461,024 is: 279,844,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,665,760 : 181,461,024 = 181,461,024 : x
  2. Step 2: Convert to fraction form
    117,665,760/181,461,024 = 181,461,024/x
  3. Step 3: Cross multiply
    117,665,760x = 181,461,024 × 181,461,024
  4. Step 4: Simplify right side
    117,665,760x = 32,928,103,231,128,576
  5. Step 5: Solve for x
    x = 32,928,103,231,128,576/117,665,760
  6. Step 6: Final answer
    x = 279,844,393.40

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