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Finding the Third Proportional to 234,757,174 and 514,863,980

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Solution

The third proportional to 234,757,174 and 514,863,980 is: 1,129,187,719.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,757,174 : 514,863,980 = 514,863,980 : x
  2. Step 2: Convert to fraction form
    234,757,174/514,863,980 = 514,863,980/x
  3. Step 3: Cross multiply
    234,757,174x = 514,863,980 × 514,863,980
  4. Step 4: Simplify right side
    234,757,174x = 265,084,917,901,440,384
  5. Step 5: Solve for x
    x = 265,084,917,901,440,384/234,757,174
  6. Step 6: Final answer
    x = 1,129,187,719.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.