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Finding the Third Proportional to 144,063,524 and 315,449,318

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Solution

The third proportional to 144,063,524 and 315,449,318 is: 690,724,962.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,063,524 : 315,449,318 = 315,449,318 : x
  2. Step 2: Convert to fraction form
    144,063,524/315,449,318 = 315,449,318/x
  3. Step 3: Cross multiply
    144,063,524x = 315,449,318 × 315,449,318
  4. Step 4: Simplify right side
    144,063,524x = 99,508,272,226,665,120
  5. Step 5: Solve for x
    x = 99,508,272,226,665,120/144,063,524
  6. Step 6: Final answer
    x = 690,724,962.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.