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Finding the Third Proportional to 84,744,473.06 and 119,946,333.94

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Solution

The third proportional to 84,744,473.06 and 119,946,333.94 is: 169,770,635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,744,473.06 : 119,946,333.94 = 119,946,333.94 : x
  2. Step 2: Convert to fraction form
    84,744,473.06/119,946,333.94 = 119,946,333.94/x
  3. Step 3: Cross multiply
    84,744,473.06x = 119,946,333.94 × 119,946,333.94
  4. Step 4: Simplify right side
    84,744,473.06x = 14,387,123,025,046,264
  5. Step 5: Solve for x
    x = 14,387,123,025,046,264/84,744,473.06
  6. Step 6: Final answer
    x = 169,770,635.24

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.