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Finding the Third Proportional to 218,032,173 and 335,131,213.50

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Solution

The third proportional to 218,032,173 and 335,131,213.50 is: 515,120,904.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,032,173 : 335,131,213.50 = 335,131,213.50 : x
  2. Step 2: Convert to fraction form
    218,032,173/335,131,213.50 = 335,131,213.50/x
  3. Step 3: Cross multiply
    218,032,173x = 335,131,213.50 × 335,131,213.50
  4. Step 4: Simplify right side
    218,032,173x = 112,312,930,261,982,576
  5. Step 5: Solve for x
    x = 112,312,930,261,982,576/218,032,173
  6. Step 6: Final answer
    x = 515,120,904.94

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Why These Related Problems?

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