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Finding the Third Proportional to 99,559.13 and 214,967.25

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Solution

The third proportional to 99,559.13 and 214,967.25 is: 464,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,559.13 : 214,967.25 = 214,967.25 : x
  2. Step 2: Convert to fraction form
    99,559.13/214,967.25 = 214,967.25/x
  3. Step 3: Cross multiply
    99,559.13x = 214,967.25 × 214,967.25
  4. Step 4: Simplify right side
    99,559.13x = 46,210,918,572.56
  5. Step 5: Solve for x
    x = 46,210,918,572.56/99,559.13
  6. Step 6: Final answer
    x = 464,155.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.