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Finding the Third Proportional to 218,472,284.32 and 467,934,216.26

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Solution

The third proportional to 218,472,284.32 and 467,934,216.26 is: 1,002,243,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,472,284.32 : 467,934,216.26 = 467,934,216.26 : x
  2. Step 2: Convert to fraction form
    218,472,284.32/467,934,216.26 = 467,934,216.26/x
  3. Step 3: Cross multiply
    218,472,284.32x = 467,934,216.26 × 467,934,216.26
  4. Step 4: Simplify right side
    218,472,284.32x = 218,962,430,744,810,880
  5. Step 5: Solve for x
    x = 218,962,430,744,810,880/218,472,284.32
  6. Step 6: Final answer
    x = 1,002,243,517.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.