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Finding the Third Proportional to 103,435,308 and 225,030,836

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Solution

The third proportional to 103,435,308 and 225,030,836 is: 489,570,516.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,435,308 : 225,030,836 = 225,030,836 : x
  2. Step 2: Convert to fraction form
    103,435,308/225,030,836 = 225,030,836/x
  3. Step 3: Cross multiply
    103,435,308x = 225,030,836 × 225,030,836
  4. Step 4: Simplify right side
    103,435,308x = 50,638,877,150,858,896
  5. Step 5: Solve for x
    x = 50,638,877,150,858,896/103,435,308
  6. Step 6: Final answer
    x = 489,570,516.39

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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.