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Finding the Third Proportional to 97,995.75 and 214,674

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Solution

The third proportional to 97,995.75 and 214,674 is: 470,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,995.75 : 214,674 = 214,674 : x
  2. Step 2: Convert to fraction form
    97,995.75/214,674 = 214,674/x
  3. Step 3: Cross multiply
    97,995.75x = 214,674 × 214,674
  4. Step 4: Simplify right side
    97,995.75x = 46,084,926,276
  5. Step 5: Solve for x
    x = 46,084,926,276/97,995.75
  6. Step 6: Final answer
    x = 470,274.74

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