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Finding the Third Proportional to 183,146,496.75 and 392,879,697.75

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Solution

The third proportional to 183,146,496.75 and 392,879,697.75 is: 842,792,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,146,496.75 : 392,879,697.75 = 392,879,697.75 : x
  2. Step 2: Convert to fraction form
    183,146,496.75/392,879,697.75 = 392,879,697.75/x
  3. Step 3: Cross multiply
    183,146,496.75x = 392,879,697.75 × 392,879,697.75
  4. Step 4: Simplify right side
    183,146,496.75x = 154,354,456,904,131,360
  5. Step 5: Solve for x
    x = 154,354,456,904,131,360/183,146,496.75
  6. Step 6: Final answer
    x = 842,792,298.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.