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Finding the Third Proportional to 144,203 and 215,109

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Solution

The third proportional to 144,203 and 215,109 is: 320,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,203 : 215,109 = 215,109 : x
  2. Step 2: Convert to fraction form
    144,203/215,109 = 215,109/x
  3. Step 3: Cross multiply
    144,203x = 215,109 × 215,109
  4. Step 4: Simplify right side
    144,203x = 46,271,881,881
  5. Step 5: Solve for x
    x = 46,271,881,881/144,203
  6. Step 6: Final answer
    x = 320,880.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.