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Finding the Third Proportional to 146,106,804 and 219,352,392

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Solution

The third proportional to 146,106,804 and 219,352,392 is: 329,317,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,106,804 : 219,352,392 = 219,352,392 : x
  2. Step 2: Convert to fraction form
    146,106,804/219,352,392 = 219,352,392/x
  3. Step 3: Cross multiply
    146,106,804x = 219,352,392 × 219,352,392
  4. Step 4: Simplify right side
    146,106,804x = 48,115,471,876,121,664
  5. Step 5: Solve for x
    x = 48,115,471,876,121,664/146,106,804
  6. Step 6: Final answer
    x = 329,317,119.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.