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Finding the Third Proportional to 143,120,042 and 314,356,426

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Solution

The third proportional to 143,120,042 and 314,356,426 is: 690,469,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,120,042 : 314,356,426 = 314,356,426 : x
  2. Step 2: Convert to fraction form
    143,120,042/314,356,426 = 314,356,426/x
  3. Step 3: Cross multiply
    143,120,042x = 314,356,426 × 314,356,426
  4. Step 4: Simplify right side
    143,120,042x = 98,819,962,567,493,472
  5. Step 5: Solve for x
    x = 98,819,962,567,493,472/143,120,042
  6. Step 6: Final answer
    x = 690,469,071.88

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