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Finding the Third Proportional to 102,662,736 and 228,279,246

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Solution

The third proportional to 102,662,736 and 228,279,246 is: 507,598,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,662,736 : 228,279,246 = 228,279,246 : x
  2. Step 2: Convert to fraction form
    102,662,736/228,279,246 = 228,279,246/x
  3. Step 3: Cross multiply
    102,662,736x = 228,279,246 × 228,279,246
  4. Step 4: Simplify right side
    102,662,736x = 52,111,414,154,328,512
  5. Step 5: Solve for x
    x = 52,111,414,154,328,512/102,662,736
  6. Step 6: Final answer
    x = 507,598,143.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.