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Finding the Third Proportional to 103,473,636.75 and 225,318,073.50

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Solution

The third proportional to 103,473,636.75 and 225,318,073.50 is: 490,639,314.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,473,636.75 : 225,318,073.50 = 225,318,073.50 : x
  2. Step 2: Convert to fraction form
    103,473,636.75/225,318,073.50 = 225,318,073.50/x
  3. Step 3: Cross multiply
    103,473,636.75x = 225,318,073.50 × 225,318,073.50
  4. Step 4: Simplify right side
    103,473,636.75x = 50,768,234,245,751,400
  5. Step 5: Solve for x
    x = 50,768,234,245,751,400/103,473,636.75
  6. Step 6: Final answer
    x = 490,639,314.91

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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.