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Finding the Third Proportional to 150,943,488 and 323,413,608

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Solution

The third proportional to 150,943,488 and 323,413,608 is: 692,950,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,943,488 : 323,413,608 = 323,413,608 : x
  2. Step 2: Convert to fraction form
    150,943,488/323,413,608 = 323,413,608/x
  3. Step 3: Cross multiply
    150,943,488x = 323,413,608 × 323,413,608
  4. Step 4: Simplify right side
    150,943,488x = 104,596,361,839,577,664
  5. Step 5: Solve for x
    x = 104,596,361,839,577,664/150,943,488
  6. Step 6: Final answer
    x = 692,950,475.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.