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Finding the Third Proportional to 89,728,534 and 191,892,346

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Solution

The third proportional to 89,728,534 and 191,892,346 is: 410,378,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,728,534 : 191,892,346 = 191,892,346 : x
  2. Step 2: Convert to fraction form
    89,728,534/191,892,346 = 191,892,346/x
  3. Step 3: Cross multiply
    89,728,534x = 191,892,346 × 191,892,346
  4. Step 4: Simplify right side
    89,728,534x = 36,822,672,453,383,712
  5. Step 5: Solve for x
    x = 36,822,672,453,383,712/89,728,534
  6. Step 6: Final answer
    x = 410,378,625.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.