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Finding the Third Proportional to 103,477,083.75 and 225,324,981

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Solution

The third proportional to 103,477,083.75 and 225,324,981 is: 490,653,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,477,083.75 : 225,324,981 = 225,324,981 : x
  2. Step 2: Convert to fraction form
    103,477,083.75/225,324,981 = 225,324,981/x
  3. Step 3: Cross multiply
    103,477,083.75x = 225,324,981 × 225,324,981
  4. Step 4: Simplify right side
    103,477,083.75x = 50,771,347,062,650,360
  5. Step 5: Solve for x
    x = 50,771,347,062,650,360/103,477,083.75
  6. Step 6: Final answer
    x = 490,653,053.05

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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.