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Finding the Third Proportional to 103,671,690 and 223,967,010

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Solution

The third proportional to 103,671,690 and 223,967,010 is: 483,846,858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,671,690 : 223,967,010 = 223,967,010 : x
  2. Step 2: Convert to fraction form
    103,671,690/223,967,010 = 223,967,010/x
  3. Step 3: Cross multiply
    103,671,690x = 223,967,010 × 223,967,010
  4. Step 4: Simplify right side
    103,671,690x = 50,161,221,568,340,096
  5. Step 5: Solve for x
    x = 50,161,221,568,340,096/103,671,690
  6. Step 6: Final answer
    x = 483,846,858.95

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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.