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Finding the Third Proportional to 115,558,586,065 and 234,366,416,822

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Solution

The third proportional to 115,558,586,065 and 234,366,416,822 is: 475,322,684,400.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,558,586,065 : 234,366,416,822 = 234,366,416,822 : x
  2. Step 2: Convert to fraction form
    115,558,586,065/234,366,416,822 = 234,366,416,822/x
  3. Step 3: Cross multiply
    115,558,586,065x = 234,366,416,822 × 234,366,416,822
  4. Step 4: Simplify right side
    115,558,586,065x = 54,927,617,333,983,447,089,152
  5. Step 5: Solve for x
    x = 54,927,617,333,983,447,089,152/115,558,586,065
  6. Step 6: Final answer
    x = 475,322,684,400.86

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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.