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Finding the Third Proportional to 143,120,142 and 314,356,644

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Solution

The third proportional to 143,120,142 and 314,356,644 is: 690,469,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,120,142 : 314,356,644 = 314,356,644 : x
  2. Step 2: Convert to fraction form
    143,120,142/314,356,644 = 314,356,644/x
  3. Step 3: Cross multiply
    143,120,142x = 314,356,644 × 314,356,644
  4. Step 4: Simplify right side
    143,120,142x = 98,820,099,626,942,736
  5. Step 5: Solve for x
    x = 98,820,099,626,942,736/143,120,142
  6. Step 6: Final answer
    x = 690,469,547.10

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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.