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Finding the Third Proportional to 103,560,021 and 223,259,985

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Solution

The third proportional to 103,560,021 and 223,259,985 is: 481,315,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,560,021 : 223,259,985 = 223,259,985 : x
  2. Step 2: Convert to fraction form
    103,560,021/223,259,985 = 223,259,985/x
  3. Step 3: Cross multiply
    103,560,021x = 223,259,985 × 223,259,985
  4. Step 4: Simplify right side
    103,560,021x = 49,845,020,902,200,224
  5. Step 5: Solve for x
    x = 49,845,020,902,200,224/103,560,021
  6. Step 6: Final answer
    x = 481,315,283.84

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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.