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Finding the Third Proportional to 102,662,751 and 228,279,276

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Solution

The third proportional to 102,662,751 and 228,279,276 is: 507,598,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,662,751 : 228,279,276 = 228,279,276 : x
  2. Step 2: Convert to fraction form
    102,662,751/228,279,276 = 228,279,276/x
  3. Step 3: Cross multiply
    102,662,751x = 228,279,276 × 228,279,276
  4. Step 4: Simplify right side
    102,662,751x = 52,111,427,851,084,176
  5. Step 5: Solve for x
    x = 52,111,427,851,084,176/102,662,751
  6. Step 6: Final answer
    x = 507,598,202.30

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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.