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Finding the Third Proportional to 115,870,100 and 251,669,242

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Solution

The third proportional to 115,870,100 and 251,669,242 is: 546,624,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,870,100 : 251,669,242 = 251,669,242 : x
  2. Step 2: Convert to fraction form
    115,870,100/251,669,242 = 251,669,242/x
  3. Step 3: Cross multiply
    115,870,100x = 251,669,242 × 251,669,242
  4. Step 4: Simplify right side
    115,870,100x = 63,337,407,368,854,560
  5. Step 5: Solve for x
    x = 63,337,407,368,854,560/115,870,100
  6. Step 6: Final answer
    x = 546,624,257.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.