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Finding the Third Proportional to 104,105,582 and 228,638,414

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Solution

The third proportional to 104,105,582 and 228,638,414 is: 502,139,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,105,582 : 228,638,414 = 228,638,414 : x
  2. Step 2: Convert to fraction form
    104,105,582/228,638,414 = 228,638,414/x
  3. Step 3: Cross multiply
    104,105,582x = 228,638,414 × 228,638,414
  4. Step 4: Simplify right side
    104,105,582x = 52,275,524,356,435,392
  5. Step 5: Solve for x
    x = 52,275,524,356,435,392/104,105,582
  6. Step 6: Final answer
    x = 502,139,494.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.