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Finding the Third Proportional to 218,032,170.50 and 335,131,212.69

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Solution

The third proportional to 218,032,170.50 and 335,131,212.69 is: 515,120,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,032,170.50 : 335,131,212.69 = 335,131,212.69 : x
  2. Step 2: Convert to fraction form
    218,032,170.50/335,131,212.69 = 335,131,212.69/x
  3. Step 3: Cross multiply
    218,032,170.50x = 335,131,212.69 × 335,131,212.69
  4. Step 4: Simplify right side
    218,032,170.50x = 112,312,929,720,015,088
  5. Step 5: Solve for x
    x = 112,312,929,720,015,088/218,032,170.50
  6. Step 6: Final answer
    x = 515,120,908.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.