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Finding the Third Proportional to 89,854,390 and 138,026,193

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Solution

The third proportional to 89,854,390 and 138,026,193 is: 212,023,363.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,854,390 : 138,026,193 = 138,026,193 : x
  2. Step 2: Convert to fraction form
    89,854,390/138,026,193 = 138,026,193/x
  3. Step 3: Cross multiply
    89,854,390x = 138,026,193 × 138,026,193
  4. Step 4: Simplify right side
    89,854,390x = 19,051,229,954,073,248
  5. Step 5: Solve for x
    x = 19,051,229,954,073,248/89,854,390
  6. Step 6: Final answer
    x = 212,023,363.07

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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.