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Finding the Third Proportional to 437,131,099.50 and 713,720,179.13

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Solution

The third proportional to 437,131,099.50 and 713,720,179.13 is: 1,165,317,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,131,099.50 : 713,720,179.13 = 713,720,179.13 : x
  2. Step 2: Convert to fraction form
    437,131,099.50/713,720,179.13 = 713,720,179.13/x
  3. Step 3: Cross multiply
    437,131,099.50x = 713,720,179.13 × 713,720,179.13
  4. Step 4: Simplify right side
    437,131,099.50x = 509,396,494,090,222,080
  5. Step 5: Solve for x
    x = 509,396,494,090,222,080/437,131,099.50
  6. Step 6: Final answer
    x = 1,165,317,440.63

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.