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Finding the Third Proportional to 103,901,648 and 225,888,454

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Solution

The third proportional to 103,901,648 and 225,888,454 is: 491,095,133.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,901,648 : 225,888,454 = 225,888,454 : x
  2. Step 2: Convert to fraction form
    103,901,648/225,888,454 = 225,888,454/x
  3. Step 3: Cross multiply
    103,901,648x = 225,888,454 × 225,888,454
  4. Step 4: Simplify right side
    103,901,648x = 51,025,593,650,510,112
  5. Step 5: Solve for x
    x = 51,025,593,650,510,112/103,901,648
  6. Step 6: Final answer
    x = 491,095,133.07

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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.