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Finding the Third Proportional to 194,156,514 and 417,128,940

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Solution

The third proportional to 194,156,514 and 417,128,940 is: 896,166,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,156,514 : 417,128,940 = 417,128,940 : x
  2. Step 2: Convert to fraction form
    194,156,514/417,128,940 = 417,128,940/x
  3. Step 3: Cross multiply
    194,156,514x = 417,128,940 × 417,128,940
  4. Step 4: Simplify right side
    194,156,514x = 173,996,552,585,523,584
  5. Step 5: Solve for x
    x = 173,996,552,585,523,584/194,156,514
  6. Step 6: Final answer
    x = 896,166,443.25

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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.