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Finding the Third Proportional to 96,106 and 208,434

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Solution

The third proportional to 96,106 and 208,434 is: 452,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,106 : 208,434 = 208,434 : x
  2. Step 2: Convert to fraction form
    96,106/208,434 = 208,434/x
  3. Step 3: Cross multiply
    96,106x = 208,434 × 208,434
  4. Step 4: Simplify right side
    96,106x = 43,444,732,356
  5. Step 5: Solve for x
    x = 43,444,732,356/96,106
  6. Step 6: Final answer
    x = 452,050.16

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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.