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Finding the Third Proportional to 146,368,485 and 195,131,466

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Solution

The third proportional to 146,368,485 and 195,131,466 is: 260,139,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,368,485 : 195,131,466 = 195,131,466 : x
  2. Step 2: Convert to fraction form
    146,368,485/195,131,466 = 195,131,466/x
  3. Step 3: Cross multiply
    146,368,485x = 195,131,466 × 195,131,466
  4. Step 4: Simplify right side
    146,368,485x = 38,076,289,023,309,152
  5. Step 5: Solve for x
    x = 38,076,289,023,309,152/146,368,485
  6. Step 6: Final answer
    x = 260,139,940.80

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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.