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Finding the Third Proportional to 143,939,202 and 313,435,524

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Solution

The third proportional to 143,939,202 and 313,435,524 is: 682,523,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,939,202 : 313,435,524 = 313,435,524 : x
  2. Step 2: Convert to fraction form
    143,939,202/313,435,524 = 313,435,524/x
  3. Step 3: Cross multiply
    143,939,202x = 313,435,524 × 313,435,524
  4. Step 4: Simplify right side
    143,939,202x = 98,241,827,705,154,576
  5. Step 5: Solve for x
    x = 98,241,827,705,154,576/143,939,202
  6. Step 6: Final answer
    x = 682,523,081.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.