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Finding the Third Proportional to 176,240,496 and 381,760,224

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Solution

The third proportional to 176,240,496 and 381,760,224 is: 826,943,137.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,240,496 : 381,760,224 = 381,760,224 : x
  2. Step 2: Convert to fraction form
    176,240,496/381,760,224 = 381,760,224/x
  3. Step 3: Cross multiply
    176,240,496x = 381,760,224 × 381,760,224
  4. Step 4: Simplify right side
    176,240,496x = 145,740,868,628,530,176
  5. Step 5: Solve for x
    x = 145,740,868,628,530,176/176,240,496
  6. Step 6: Final answer
    x = 826,943,137.00

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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.