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Finding the Third Proportional to 144,063,515 and 315,449,302

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Solution

The third proportional to 144,063,515 and 315,449,302 is: 690,724,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,063,515 : 315,449,302 = 315,449,302 : x
  2. Step 2: Convert to fraction form
    144,063,515/315,449,302 = 315,449,302/x
  3. Step 3: Cross multiply
    144,063,515x = 315,449,302 × 315,449,302
  4. Step 4: Simplify right side
    144,063,515x = 99,508,262,132,287,200
  5. Step 5: Solve for x
    x = 99,508,262,132,287,200/144,063,515
  6. Step 6: Final answer
    x = 690,724,935.68

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