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Finding the Third Proportional to 148,689,466 and 322,086,524

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Solution

The third proportional to 148,689,466 and 322,086,524 is: 697,693,869.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,689,466 : 322,086,524 = 322,086,524 : x
  2. Step 2: Convert to fraction form
    148,689,466/322,086,524 = 322,086,524/x
  3. Step 3: Cross multiply
    148,689,466x = 322,086,524 × 322,086,524
  4. Step 4: Simplify right side
    148,689,466x = 103,739,728,942,402,576
  5. Step 5: Solve for x
    x = 103,739,728,942,402,576/148,689,466
  6. Step 6: Final answer
    x = 697,693,869.87

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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.