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Finding the Third Proportional to 42,036,477.75 and 90,981,699.75

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Solution

The third proportional to 42,036,477.75 and 90,981,699.75 is: 196,916,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,036,477.75 : 90,981,699.75 = 90,981,699.75 : x
  2. Step 2: Convert to fraction form
    42,036,477.75/90,981,699.75 = 90,981,699.75/x
  3. Step 3: Cross multiply
    42,036,477.75x = 90,981,699.75 × 90,981,699.75
  4. Step 4: Simplify right side
    42,036,477.75x = 8,277,669,689,399,150
  5. Step 5: Solve for x
    x = 8,277,669,689,399,150/42,036,477.75
  6. Step 6: Final answer
    x = 196,916,348.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.