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Finding the Third Proportional to 109,792,356.75 and 146,373,486.75

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Solution

The third proportional to 109,792,356.75 and 146,373,486.75 is: 195,142,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,792,356.75 : 146,373,486.75 = 146,373,486.75 : x
  2. Step 2: Convert to fraction form
    109,792,356.75/146,373,486.75 = 146,373,486.75/x
  3. Step 3: Cross multiply
    109,792,356.75x = 146,373,486.75 × 146,373,486.75
  4. Step 4: Simplify right side
    109,792,356.75x = 21,425,197,623,352,424
  5. Step 5: Solve for x
    x = 21,425,197,623,352,424/109,792,356.75
  6. Step 6: Final answer
    x = 195,142,888.43

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.