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Finding the Third Proportional to 103,975,898 and 225,289,970

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Solution

The third proportional to 103,975,898 and 225,289,970 is: 488,147,460.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,975,898 : 225,289,970 = 225,289,970 : x
  2. Step 2: Convert to fraction form
    103,975,898/225,289,970 = 225,289,970/x
  3. Step 3: Cross multiply
    103,975,898x = 225,289,970 × 225,289,970
  4. Step 4: Simplify right side
    103,975,898x = 50,755,570,582,600,896
  5. Step 5: Solve for x
    x = 50,755,570,582,600,896/103,975,898
  6. Step 6: Final answer
    x = 488,147,460.70

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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.