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Finding the Third Proportional to 95,998,869 and 210,683,169

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Solution

The third proportional to 95,998,869 and 210,683,169 is: 462,374,173.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,998,869 : 210,683,169 = 210,683,169 : x
  2. Step 2: Convert to fraction form
    95,998,869/210,683,169 = 210,683,169/x
  3. Step 3: Cross multiply
    95,998,869x = 210,683,169 × 210,683,169
  4. Step 4: Simplify right side
    95,998,869x = 44,387,397,699,882,560
  5. Step 5: Solve for x
    x = 44,387,397,699,882,560/95,998,869
  6. Step 6: Final answer
    x = 462,374,173.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.