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Finding the Third Proportional to 103,672,895 and 223,949,017

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Solution

The third proportional to 103,672,895 and 223,949,017 is: 483,763,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,672,895 : 223,949,017 = 223,949,017 : x
  2. Step 2: Convert to fraction form
    103,672,895/223,949,017 = 223,949,017/x
  3. Step 3: Cross multiply
    103,672,895x = 223,949,017 × 223,949,017
  4. Step 4: Simplify right side
    103,672,895x = 50,153,162,215,266,288
  5. Step 5: Solve for x
    x = 50,153,162,215,266,288/103,672,895
  6. Step 6: Final answer
    x = 483,763,496.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.