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Finding the Third Proportional to 97,990.75 and 214,665.50

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Solution

The third proportional to 97,990.75 and 214,665.50 is: 470,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,990.75 : 214,665.50 = 214,665.50 : x
  2. Step 2: Convert to fraction form
    97,990.75/214,665.50 = 214,665.50/x
  3. Step 3: Cross multiply
    97,990.75x = 214,665.50 × 214,665.50
  4. Step 4: Simplify right side
    97,990.75x = 46,081,276,890.25
  5. Step 5: Solve for x
    x = 46,081,276,890.25/97,990.75
  6. Step 6: Final answer
    x = 470,261.50

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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.