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Finding the Third Proportional to 145,135,485 and 313,359,210

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Solution

The third proportional to 145,135,485 and 313,359,210 is: 676,567,791.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,135,485 : 313,359,210 = 313,359,210 : x
  2. Step 2: Convert to fraction form
    145,135,485/313,359,210 = 313,359,210/x
  3. Step 3: Cross multiply
    145,135,485x = 313,359,210 × 313,359,210
  4. Step 4: Simplify right side
    145,135,485x = 98,193,994,491,824,096
  5. Step 5: Solve for x
    x = 98,193,994,491,824,096/145,135,485
  6. Step 6: Final answer
    x = 676,567,791.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.