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Finding the Third Proportional to 106,520,192 and 229,495,392

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Solution

The third proportional to 106,520,192 and 229,495,392 is: 494,442,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,520,192 : 229,495,392 = 229,495,392 : x
  2. Step 2: Convert to fraction form
    106,520,192/229,495,392 = 229,495,392/x
  3. Step 3: Cross multiply
    106,520,192x = 229,495,392 × 229,495,392
  4. Step 4: Simplify right side
    106,520,192x = 52,668,134,949,233,664
  5. Step 5: Solve for x
    x = 52,668,134,949,233,664/106,520,192
  6. Step 6: Final answer
    x = 494,442,733.91

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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.