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Finding the Third Proportional to 103,325,760 and 223,088,436

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Solution

The third proportional to 103,325,760 and 223,088,436 is: 481,665,465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,325,760 : 223,088,436 = 223,088,436 : x
  2. Step 2: Convert to fraction form
    103,325,760/223,088,436 = 223,088,436/x
  3. Step 3: Cross multiply
    103,325,760x = 223,088,436 × 223,088,436
  4. Step 4: Simplify right side
    103,325,760x = 49,768,450,276,926,096
  5. Step 5: Solve for x
    x = 49,768,450,276,926,096/103,325,760
  6. Step 6: Final answer
    x = 481,665,465.39

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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.