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Finding the Third Proportional to 99,572.63 and 214,994.25

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Solution

The third proportional to 99,572.63 and 214,994.25 is: 464,209.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,572.63 : 214,994.25 = 214,994.25 : x
  2. Step 2: Convert to fraction form
    99,572.63/214,994.25 = 214,994.25/x
  3. Step 3: Cross multiply
    99,572.63x = 214,994.25 × 214,994.25
  4. Step 4: Simplify right side
    99,572.63x = 46,222,527,533.06
  5. Step 5: Solve for x
    x = 46,222,527,533.06/99,572.63
  6. Step 6: Final answer
    x = 464,209.19

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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.