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Finding the Third Proportional to 223,971,076 and 465,820,874

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Solution

The third proportional to 223,971,076 and 465,820,874 is: 968,826,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,971,076 : 465,820,874 = 465,820,874 : x
  2. Step 2: Convert to fraction form
    223,971,076/465,820,874 = 465,820,874/x
  3. Step 3: Cross multiply
    223,971,076x = 465,820,874 × 465,820,874
  4. Step 4: Simplify right side
    223,971,076x = 216,989,086,654,123,872
  5. Step 5: Solve for x
    x = 216,989,086,654,123,872/223,971,076
  6. Step 6: Final answer
    x = 968,826,379.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.