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Finding the Third Proportional to 103,977,822 and 225,293,634

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Solution

The third proportional to 103,977,822 and 225,293,634 is: 488,154,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,977,822 : 225,293,634 = 225,293,634 : x
  2. Step 2: Convert to fraction form
    103,977,822/225,293,634 = 225,293,634/x
  3. Step 3: Cross multiply
    103,977,822x = 225,293,634 × 225,293,634
  4. Step 4: Simplify right side
    103,977,822x = 50,757,221,520,925,952
  5. Step 5: Solve for x
    x = 50,757,221,520,925,952/103,977,822
  6. Step 6: Final answer
    x = 488,154,305.84

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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.