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Finding the Third Proportional to 150,943,598 and 323,413,852

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Solution

The third proportional to 150,943,598 and 323,413,852 is: 692,951,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,943,598 : 323,413,852 = 323,413,852 : x
  2. Step 2: Convert to fraction form
    150,943,598/323,413,852 = 323,413,852/x
  3. Step 3: Cross multiply
    150,943,598x = 323,413,852 × 323,413,852
  4. Step 4: Simplify right side
    150,943,598x = 104,596,519,665,477,904
  5. Step 5: Solve for x
    x = 104,596,519,665,477,904/150,943,598
  6. Step 6: Final answer
    x = 692,951,016.48

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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.