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Finding the Third Proportional to 103,473,634 and 225,318,069

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Solution

The third proportional to 103,473,634 and 225,318,069 is: 490,639,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,473,634 : 225,318,069 = 225,318,069 : x
  2. Step 2: Convert to fraction form
    103,473,634/225,318,069 = 225,318,069/x
  3. Step 3: Cross multiply
    103,473,634x = 225,318,069 × 225,318,069
  4. Step 4: Simplify right side
    103,473,634x = 50,768,232,217,888,760
  5. Step 5: Solve for x
    x = 50,768,232,217,888,760/103,473,634
  6. Step 6: Final answer
    x = 490,639,308.35

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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.