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Finding the Third Proportional to 84,215,232 and 126,944,928

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Solution

The third proportional to 84,215,232 and 126,944,928 is: 191,355,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,215,232 : 126,944,928 = 126,944,928 : x
  2. Step 2: Convert to fraction form
    84,215,232/126,944,928 = 126,944,928/x
  3. Step 3: Cross multiply
    84,215,232x = 126,944,928 × 126,944,928
  4. Step 4: Simplify right side
    84,215,232x = 16,115,014,744,925,184
  5. Step 5: Solve for x
    x = 16,115,014,744,925,184/84,215,232
  6. Step 6: Final answer
    x = 191,355,107.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.