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Finding the Third Proportional to 172,680,092 and 265,689,669

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Solution

The third proportional to 172,680,092 and 265,689,669 is: 408,796,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,680,092 : 265,689,669 = 265,689,669 : x
  2. Step 2: Convert to fraction form
    172,680,092/265,689,669 = 265,689,669/x
  3. Step 3: Cross multiply
    172,680,092x = 265,689,669 × 265,689,669
  4. Step 4: Simplify right side
    172,680,092x = 70,591,000,213,329,560
  5. Step 5: Solve for x
    x = 70,591,000,213,329,560/172,680,092
  6. Step 6: Final answer
    x = 408,796,401.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.