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Finding the Third Proportional to 259,153,699.50 and 366,694,555.50

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Solution

The third proportional to 259,153,699.50 and 366,694,555.50 is: 518,861,576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,153,699.50 : 366,694,555.50 = 366,694,555.50 : x
  2. Step 2: Convert to fraction form
    259,153,699.50/366,694,555.50 = 366,694,555.50/x
  3. Step 3: Cross multiply
    259,153,699.50x = 366,694,555.50 × 366,694,555.50
  4. Step 4: Simplify right side
    259,153,699.50x = 134,464,897,033,342,576
  5. Step 5: Solve for x
    x = 134,464,897,033,342,576/259,153,699.50
  6. Step 6: Final answer
    x = 518,861,576.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.