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Finding the Third Proportional to 238,195,710 and 515,962,998

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Solution

The third proportional to 238,195,710 and 515,962,998 is: 1,117,643,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,195,710 : 515,962,998 = 515,962,998 : x
  2. Step 2: Convert to fraction form
    238,195,710/515,962,998 = 515,962,998/x
  3. Step 3: Cross multiply
    238,195,710x = 515,962,998 × 515,962,998
  4. Step 4: Simplify right side
    238,195,710x = 266,217,815,305,148,000
  5. Step 5: Solve for x
    x = 266,217,815,305,148,000/238,195,710
  6. Step 6: Final answer
    x = 1,117,643,198.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.