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Finding the Third Proportional to 152,834,366 and 335,693,455

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Solution

The third proportional to 152,834,366 and 335,693,455 is: 737,334,793.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,834,366 : 335,693,455 = 335,693,455 : x
  2. Step 2: Convert to fraction form
    152,834,366/335,693,455 = 335,693,455/x
  3. Step 3: Cross multiply
    152,834,366x = 335,693,455 × 335,693,455
  4. Step 4: Simplify right side
    152,834,366x = 112,690,095,729,837,024
  5. Step 5: Solve for x
    x = 112,690,095,729,837,024/152,834,366
  6. Step 6: Final answer
    x = 737,334,793.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.