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Finding the Third Proportional to 297,850,234.50 and 649,330,268.06

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Solution

The third proportional to 297,850,234.50 and 649,330,268.06 is: 1,415,576,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,850,234.50 : 649,330,268.06 = 649,330,268.06 : x
  2. Step 2: Convert to fraction form
    297,850,234.50/649,330,268.06 = 649,330,268.06/x
  3. Step 3: Cross multiply
    297,850,234.50x = 649,330,268.06 × 649,330,268.06
  4. Step 4: Simplify right side
    297,850,234.50x = 421,629,797,022,118,080
  5. Step 5: Solve for x
    x = 421,629,797,022,118,080/297,850,234.50
  6. Step 6: Final answer
    x = 1,415,576,515.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.