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Finding the Third Proportional to 109,813,400 and 234,218,224

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Solution

The third proportional to 109,813,400 and 234,218,224 is: 499,558,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,813,400 : 234,218,224 = 234,218,224 : x
  2. Step 2: Convert to fraction form
    109,813,400/234,218,224 = 234,218,224/x
  3. Step 3: Cross multiply
    109,813,400x = 234,218,224 × 234,218,224
  4. Step 4: Simplify right side
    109,813,400x = 54,858,176,453,714,176
  5. Step 5: Solve for x
    x = 54,858,176,453,714,176/109,813,400
  6. Step 6: Final answer
    x = 499,558,127.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.