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Finding the Third Proportional to 213,553,154 and 466,250,692

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Solution

The third proportional to 213,553,154 and 466,250,692 is: 1,017,965,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,553,154 : 466,250,692 = 466,250,692 : x
  2. Step 2: Convert to fraction form
    213,553,154/466,250,692 = 466,250,692/x
  3. Step 3: Cross multiply
    213,553,154x = 466,250,692 × 466,250,692
  4. Step 4: Simplify right side
    213,553,154x = 217,389,707,790,478,848
  5. Step 5: Solve for x
    x = 217,389,707,790,478,848/213,553,154
  6. Step 6: Final answer
    x = 1,017,965,334.24

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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.