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Finding the Third Proportional to 150,943,498 and 323,413,628

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Solution

The third proportional to 150,943,498 and 323,413,628 is: 692,950,515.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,943,498 : 323,413,628 = 323,413,628 : x
  2. Step 2: Convert to fraction form
    150,943,498/323,413,628 = 323,413,628/x
  3. Step 3: Cross multiply
    150,943,498x = 323,413,628 × 323,413,628
  4. Step 4: Simplify right side
    150,943,498x = 104,596,374,776,122,384
  5. Step 5: Solve for x
    x = 104,596,374,776,122,384/150,943,498
  6. Step 6: Final answer
    x = 692,950,515.67

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Why These Related Problems?

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