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Finding the Third Proportional to 159,254,865 and 346,076,110

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Solution

The third proportional to 159,254,865 and 346,076,110 is: 752,056,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,254,865 : 346,076,110 = 346,076,110 : x
  2. Step 2: Convert to fraction form
    159,254,865/346,076,110 = 346,076,110/x
  3. Step 3: Cross multiply
    159,254,865x = 346,076,110 × 346,076,110
  4. Step 4: Simplify right side
    159,254,865x = 119,768,673,912,732,096
  5. Step 5: Solve for x
    x = 119,768,673,912,732,096/159,254,865
  6. Step 6: Final answer
    x = 752,056,610.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.