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Finding the Third Proportional to 181,689,867 and 272,468,070

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Solution

The third proportional to 181,689,867 and 272,468,070 is: 408,602,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,689,867 : 272,468,070 = 272,468,070 : x
  2. Step 2: Convert to fraction form
    181,689,867/272,468,070 = 272,468,070/x
  3. Step 3: Cross multiply
    181,689,867x = 272,468,070 × 272,468,070
  4. Step 4: Simplify right side
    181,689,867x = 74,238,849,169,524,896
  5. Step 5: Solve for x
    x = 74,238,849,169,524,896/181,689,867
  6. Step 6: Final answer
    x = 408,602,033.76

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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.