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Finding the Third Proportional to 144,063,509 and 315,449,290

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Solution

The third proportional to 144,063,509 and 315,449,290 is: 690,724,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,063,509 : 315,449,290 = 315,449,290 : x
  2. Step 2: Convert to fraction form
    144,063,509/315,449,290 = 315,449,290/x
  3. Step 3: Cross multiply
    144,063,509x = 315,449,290 × 315,449,290
  4. Step 4: Simplify right side
    144,063,509x = 99,508,254,561,504,096
  5. Step 5: Solve for x
    x = 99,508,254,561,504,096/144,063,509
  6. Step 6: Final answer
    x = 690,724,911.90

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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.