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Finding the Third Proportional to 95,611 and 210,095

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Solution

The third proportional to 95,611 and 210,095 is: 461,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,611 : 210,095 = 210,095 : x
  2. Step 2: Convert to fraction form
    95,611/210,095 = 210,095/x
  3. Step 3: Cross multiply
    95,611x = 210,095 × 210,095
  4. Step 4: Simplify right side
    95,611x = 44,139,909,025
  5. Step 5: Solve for x
    x = 44,139,909,025/95,611
  6. Step 6: Final answer
    x = 461,661.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.