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Finding the Third Proportional to 107,838.75 and 234,307.13

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Solution

The third proportional to 107,838.75 and 234,307.13 is: 509,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,838.75 : 234,307.13 = 234,307.13 : x
  2. Step 2: Convert to fraction form
    107,838.75/234,307.13 = 234,307.13/x
  3. Step 3: Cross multiply
    107,838.75x = 234,307.13 × 234,307.13
  4. Step 4: Simplify right side
    107,838.75x = 54,899,828,825.77
  5. Step 5: Solve for x
    x = 54,899,828,825.77/107,838.75
  6. Step 6: Final answer
    x = 509,091.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.