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Finding the Third Proportional to 50,233,496 and 108,497,584

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Solution

The third proportional to 50,233,496 and 108,497,584 is: 234,340,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,233,496 : 108,497,584 = 108,497,584 : x
  2. Step 2: Convert to fraction form
    50,233,496/108,497,584 = 108,497,584/x
  3. Step 3: Cross multiply
    50,233,496x = 108,497,584 × 108,497,584
  4. Step 4: Simplify right side
    50,233,496x = 11,771,725,733,837,056
  5. Step 5: Solve for x
    x = 11,771,725,733,837,056/50,233,496
  6. Step 6: Final answer
    x = 234,340,164.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.