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Finding the Third Proportional to 181,689,999 and 272,468,272

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Solution

The third proportional to 181,689,999 and 272,468,272 is: 408,602,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,689,999 : 272,468,272 = 272,468,272 : x
  2. Step 2: Convert to fraction form
    181,689,999/272,468,272 = 272,468,272/x
  3. Step 3: Cross multiply
    181,689,999x = 272,468,272 × 272,468,272
  4. Step 4: Simplify right side
    181,689,999x = 74,238,959,246,665,984
  5. Step 5: Solve for x
    x = 74,238,959,246,665,984/181,689,999
  6. Step 6: Final answer
    x = 408,602,342.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.