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Finding the Third Proportional to 205,871.63 and 437,986.13

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Solution

The third proportional to 205,871.63 and 437,986.13 is: 931,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,871.63 : 437,986.13 = 437,986.13 : x
  2. Step 2: Convert to fraction form
    205,871.63/437,986.13 = 437,986.13/x
  3. Step 3: Cross multiply
    205,871.63x = 437,986.13 × 437,986.13
  4. Step 4: Simplify right side
    205,871.63x = 191,831,845,692.52
  5. Step 5: Solve for x
    x = 191,831,845,692.52/205,871.63
  6. Step 6: Final answer
    x = 931,803.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.