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Finding the Third Proportional to 42,733,107.75 and 86,976,423

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Solution

The third proportional to 42,733,107.75 and 86,976,423 is: 177,026,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,733,107.75 : 86,976,423 = 86,976,423 : x
  2. Step 2: Convert to fraction form
    42,733,107.75/86,976,423 = 86,976,423/x
  3. Step 3: Cross multiply
    42,733,107.75x = 86,976,423 × 86,976,423
  4. Step 4: Simplify right side
    42,733,107.75x = 7,564,898,157,874,929
  5. Step 5: Solve for x
    x = 7,564,898,157,874,929/42,733,107.75
  6. Step 6: Final answer
    x = 177,026,632.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.