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Finding the Third Proportional to 148,689,462 and 322,086,525

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Solution

The third proportional to 148,689,462 and 322,086,525 is: 697,693,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,689,462 : 322,086,525 = 322,086,525 : x
  2. Step 2: Convert to fraction form
    148,689,462/322,086,525 = 322,086,525/x
  3. Step 3: Cross multiply
    148,689,462x = 322,086,525 × 322,086,525
  4. Step 4: Simplify right side
    148,689,462x = 103,739,729,586,575,632
  5. Step 5: Solve for x
    x = 103,739,729,586,575,632/148,689,462
  6. Step 6: Final answer
    x = 697,693,892.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.