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Finding the Third Proportional to 217,166,885 and 473,351,098

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Solution

The third proportional to 217,166,885 and 473,351,098 is: 1,031,746,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,166,885 : 473,351,098 = 473,351,098 : x
  2. Step 2: Convert to fraction form
    217,166,885/473,351,098 = 473,351,098/x
  3. Step 3: Cross multiply
    217,166,885x = 473,351,098 × 473,351,098
  4. Step 4: Simplify right side
    217,166,885x = 224,061,261,977,805,600
  5. Step 5: Solve for x
    x = 224,061,261,977,805,600/217,166,885
  6. Step 6: Final answer
    x = 1,031,746,907.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.