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Finding the Third Proportional to 171,267,428 and 260,916,258

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Solution

The third proportional to 171,267,428 and 260,916,258 is: 397,491,189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,267,428 : 260,916,258 = 260,916,258 : x
  2. Step 2: Convert to fraction form
    171,267,428/260,916,258 = 260,916,258/x
  3. Step 3: Cross multiply
    171,267,428x = 260,916,258 × 260,916,258
  4. Step 4: Simplify right side
    171,267,428x = 68,077,293,688,722,560
  5. Step 5: Solve for x
    x = 68,077,293,688,722,560/171,267,428
  6. Step 6: Final answer
    x = 397,491,189.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.