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Finding the Third Proportional to 101,971.50 and 218,705.50

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Solution

The third proportional to 101,971.50 and 218,705.50 is: 469,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,971.50 : 218,705.50 = 218,705.50 : x
  2. Step 2: Convert to fraction form
    101,971.50/218,705.50 = 218,705.50/x
  3. Step 3: Cross multiply
    101,971.50x = 218,705.50 × 218,705.50
  4. Step 4: Simplify right side
    101,971.50x = 47,832,095,730.25
  5. Step 5: Solve for x
    x = 47,832,095,730.25/101,971.50
  6. Step 6: Final answer
    x = 469,073.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.