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Finding the Third Proportional to 234,757,172 and 514,863,976

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Solution

The third proportional to 234,757,172 and 514,863,976 is: 1,129,187,711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,757,172 : 514,863,976 = 514,863,976 : x
  2. Step 2: Convert to fraction form
    234,757,172/514,863,976 = 514,863,976/x
  3. Step 3: Cross multiply
    234,757,172x = 514,863,976 × 514,863,976
  4. Step 4: Simplify right side
    234,757,172x = 265,084,913,782,528,576
  5. Step 5: Solve for x
    x = 265,084,913,782,528,576/234,757,172
  6. Step 6: Final answer
    x = 1,129,187,711.39

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Why These Related Problems?

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