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Finding the Third Proportional to 146,368,476 and 195,131,457

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Solution

The third proportional to 146,368,476 and 195,131,457 is: 260,139,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,368,476 : 195,131,457 = 195,131,457 : x
  2. Step 2: Convert to fraction form
    146,368,476/195,131,457 = 195,131,457/x
  3. Step 3: Cross multiply
    146,368,476x = 195,131,457 × 195,131,457
  4. Step 4: Simplify right side
    146,368,476x = 38,076,285,510,942,848
  5. Step 5: Solve for x
    x = 38,076,285,510,942,848/146,368,476
  6. Step 6: Final answer
    x = 260,139,932.80

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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.