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Finding the Third Proportional to 115,553,182.50 and 157,383,263.25

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Solution

The third proportional to 115,553,182.50 and 157,383,263.25 is: 214,355,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,553,182.50 : 157,383,263.25 = 157,383,263.25 : x
  2. Step 2: Convert to fraction form
    115,553,182.50/157,383,263.25 = 157,383,263.25/x
  3. Step 3: Cross multiply
    115,553,182.50x = 157,383,263.25 × 157,383,263.25
  4. Step 4: Simplify right side
    115,553,182.50x = 24,769,491,551,218,800
  5. Step 5: Solve for x
    x = 24,769,491,551,218,800/115,553,182.50
  6. Step 6: Final answer
    x = 214,355,771.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.