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Finding the Third Proportional to 143,939,342 and 313,435,804

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Solution

The third proportional to 143,939,342 and 313,435,804 is: 682,523,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,939,342 : 313,435,804 = 313,435,804 : x
  2. Step 2: Convert to fraction form
    143,939,342/313,435,804 = 313,435,804/x
  3. Step 3: Cross multiply
    143,939,342x = 313,435,804 × 313,435,804
  4. Step 4: Simplify right side
    143,939,342x = 98,242,003,229,126,416
  5. Step 5: Solve for x
    x = 98,242,003,229,126,416/143,939,342
  6. Step 6: Final answer
    x = 682,523,637.14

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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.