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Finding the Third Proportional to 218,032,175 and 335,131,217

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Solution

The third proportional to 218,032,175 and 335,131,217 is: 515,120,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,032,175 : 335,131,217 = 335,131,217 : x
  2. Step 2: Convert to fraction form
    218,032,175/335,131,217 = 335,131,217/x
  3. Step 3: Cross multiply
    218,032,175x = 335,131,217 × 335,131,217
  4. Step 4: Simplify right side
    218,032,175x = 112,312,932,607,901,088
  5. Step 5: Solve for x
    x = 112,312,932,607,901,088/218,032,175
  6. Step 6: Final answer
    x = 515,120,910.98

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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.