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Finding the Third Proportional to 97,993.13 and 214,670.25

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Solution

The third proportional to 97,993.13 and 214,670.25 is: 470,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,993.13 : 214,670.25 = 214,670.25 : x
  2. Step 2: Convert to fraction form
    97,993.13/214,670.25 = 214,670.25/x
  3. Step 3: Cross multiply
    97,993.13x = 214,670.25 × 214,670.25
  4. Step 4: Simplify right side
    97,993.13x = 46,083,316,235.06
  5. Step 5: Solve for x
    x = 46,083,316,235.06/97,993.13
  6. Step 6: Final answer
    x = 470,270.91

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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.