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Finding the Third Proportional to 115,558,586,192 and 234,366,416,832

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Solution

The third proportional to 115,558,586,192 and 234,366,416,832 is: 475,322,683,919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,558,586,192 : 234,366,416,832 = 234,366,416,832 : x
  2. Step 2: Convert to fraction form
    115,558,586,192/234,366,416,832 = 234,366,416,832/x
  3. Step 3: Cross multiply
    115,558,586,192x = 234,366,416,832 × 234,366,416,832
  4. Step 4: Simplify right side
    115,558,586,192x = 54,927,617,338,670,774,747,136
  5. Step 5: Solve for x
    x = 54,927,617,338,670,774,747,136/115,558,586,192
  6. Step 6: Final answer
    x = 475,322,683,919.04

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.