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Finding the Third Proportional to 194,160,404 and 417,136,710

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Solution

The third proportional to 194,160,404 and 417,136,710 is: 896,181,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,160,404 : 417,136,710 = 417,136,710 : x
  2. Step 2: Convert to fraction form
    194,160,404/417,136,710 = 417,136,710/x
  3. Step 3: Cross multiply
    194,160,404x = 417,136,710 × 417,136,710
  4. Step 4: Simplify right side
    194,160,404x = 174,003,034,829,624,096
  5. Step 5: Solve for x
    x = 174,003,034,829,624,096/194,160,404
  6. Step 6: Final answer
    x = 896,181,874.60

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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.