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Finding the Third Proportional to 194,156,515 and 417,128,942

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Solution

The third proportional to 194,156,515 and 417,128,942 is: 896,166,447.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,156,515 : 417,128,942 = 417,128,942 : x
  2. Step 2: Convert to fraction form
    194,156,515/417,128,942 = 417,128,942/x
  3. Step 3: Cross multiply
    194,156,515x = 417,128,942 × 417,128,942
  4. Step 4: Simplify right side
    194,156,515x = 173,996,554,254,039,360
  5. Step 5: Solve for x
    x = 173,996,554,254,039,360/194,156,515
  6. Step 6: Final answer
    x = 896,166,447.23

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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.