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Finding the Third Proportional to 362,231,206 and 564,870,167

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Solution

The third proportional to 362,231,206 and 564,870,167 is: 880,869,180.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,231,206 : 564,870,167 = 564,870,167 : x
  2. Step 2: Convert to fraction form
    362,231,206/564,870,167 = 564,870,167/x
  3. Step 3: Cross multiply
    362,231,206x = 564,870,167 × 564,870,167
  4. Step 4: Simplify right side
    362,231,206x = 319,078,305,566,607,872
  5. Step 5: Solve for x
    x = 319,078,305,566,607,872/362,231,206
  6. Step 6: Final answer
    x = 880,869,180.46

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Why These Related Problems?

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