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Finding the Third Proportional to 103,976,426 and 225,290,977

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Solution

The third proportional to 103,976,426 and 225,290,977 is: 488,149,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,976,426 : 225,290,977 = 225,290,977 : x
  2. Step 2: Convert to fraction form
    103,976,426/225,290,977 = 225,290,977/x
  3. Step 3: Cross multiply
    103,976,426x = 225,290,977 × 225,290,977
  4. Step 4: Simplify right side
    103,976,426x = 50,756,024,317,614,528
  5. Step 5: Solve for x
    x = 50,756,024,317,614,528/103,976,426
  6. Step 6: Final answer
    x = 488,149,345.68

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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.