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Finding the Third Proportional to 109,429.13 and 235,205.63

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Solution

The third proportional to 109,429.13 and 235,205.63 is: 505,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,429.13 : 235,205.63 = 235,205.63 : x
  2. Step 2: Convert to fraction form
    109,429.13/235,205.63 = 235,205.63/x
  3. Step 3: Cross multiply
    109,429.13x = 235,205.63 × 235,205.63
  4. Step 4: Simplify right side
    109,429.13x = 55,321,686,031.64
  5. Step 5: Solve for x
    x = 55,321,686,031.64/109,429.13
  6. Step 6: Final answer
    x = 505,548.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.