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Finding the Third Proportional to 224,716,567 and 492,391,234

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Solution

The third proportional to 224,716,567 and 492,391,234 is: 1,078,910,783.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,716,567 : 492,391,234 = 492,391,234 : x
  2. Step 2: Convert to fraction form
    224,716,567/492,391,234 = 492,391,234/x
  3. Step 3: Cross multiply
    224,716,567x = 492,391,234 × 492,391,234
  4. Step 4: Simplify right side
    224,716,567x = 242,449,127,320,042,752
  5. Step 5: Solve for x
    x = 242,449,127,320,042,752/224,716,567
  6. Step 6: Final answer
    x = 1,078,910,783.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.