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Finding the Third Proportional to 84,311,285.70 and 195,168,471.36

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Solution

The third proportional to 84,311,285.70 and 195,168,471.36 is: 451,786,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,311,285.70 : 195,168,471.36 = 195,168,471.36 : x
  2. Step 2: Convert to fraction form
    84,311,285.70/195,168,471.36 = 195,168,471.36/x
  3. Step 3: Cross multiply
    84,311,285.70x = 195,168,471.36 × 195,168,471.36
  4. Step 4: Simplify right side
    84,311,285.70x = 38,090,732,214,283,352
  5. Step 5: Solve for x
    x = 38,090,732,214,283,352/84,311,285.70
  6. Step 6: Final answer
    x = 451,786,874.08

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.