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Finding the Third Proportional to 223,126,686 and 482,105,956

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Solution

The third proportional to 223,126,686 and 482,105,956 is: 1,041,677,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,126,686 : 482,105,956 = 482,105,956 : x
  2. Step 2: Convert to fraction form
    223,126,686/482,105,956 = 482,105,956/x
  3. Step 3: Cross multiply
    223,126,686x = 482,105,956 × 482,105,956
  4. Step 4: Simplify right side
    223,126,686x = 232,426,152,810,673,920
  5. Step 5: Solve for x
    x = 232,426,152,810,673,920/223,126,686
  6. Step 6: Final answer
    x = 1,041,677,967.69

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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.