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Finding the Third Proportional to 143,412,843.75 and 316,971,462.75

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Solution

The third proportional to 143,412,843.75 and 316,971,462.75 is: 700,571,201.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,412,843.75 : 316,971,462.75 = 316,971,462.75 : x
  2. Step 2: Convert to fraction form
    143,412,843.75/316,971,462.75 = 316,971,462.75/x
  3. Step 3: Cross multiply
    143,412,843.75x = 316,971,462.75 × 316,971,462.75
  4. Step 4: Simplify right side
    143,412,843.75x = 100,470,908,197,874,640
  5. Step 5: Solve for x
    x = 100,470,908,197,874,640/143,412,843.75
  6. Step 6: Final answer
    x = 700,571,201.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.