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Finding the Third Proportional to 97,987.50 and 214,650

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Solution

The third proportional to 97,987.50 and 214,650 is: 470,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,987.50 : 214,650 = 214,650 : x
  2. Step 2: Convert to fraction form
    97,987.50/214,650 = 214,650/x
  3. Step 3: Cross multiply
    97,987.50x = 214,650 × 214,650
  4. Step 4: Simplify right side
    97,987.50x = 46,074,622,500
  5. Step 5: Solve for x
    x = 46,074,622,500/97,987.50
  6. Step 6: Final answer
    x = 470,209.18

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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.