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Finding the Third Proportional to 109,428.88 and 235,205.13

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Solution

The third proportional to 109,428.88 and 235,205.13 is: 505,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,428.88 : 235,205.13 = 235,205.13 : x
  2. Step 2: Convert to fraction form
    109,428.88/235,205.13 = 235,205.13/x
  3. Step 3: Cross multiply
    109,428.88x = 235,205.13 × 235,205.13
  4. Step 4: Simplify right side
    109,428.88x = 55,321,450,826.27
  5. Step 5: Solve for x
    x = 55,321,450,826.27/109,428.88
  6. Step 6: Final answer
    x = 505,547.10

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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.