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Finding the Third Proportional to 175,726,271 and 365,997,299

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Solution

The third proportional to 175,726,271 and 365,997,299 is: 762,287,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,726,271 : 365,997,299 = 365,997,299 : x
  2. Step 2: Convert to fraction form
    175,726,271/365,997,299 = 365,997,299/x
  3. Step 3: Cross multiply
    175,726,271x = 365,997,299 × 365,997,299
  4. Step 4: Simplify right side
    175,726,271x = 133,954,022,875,295,408
  5. Step 5: Solve for x
    x = 133,954,022,875,295,408/175,726,271
  6. Step 6: Final answer
    x = 762,287,972.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.