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Finding the Third Proportional to 102,662,824 and 228,279,410

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Solution

The third proportional to 102,662,824 and 228,279,410 is: 507,598,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,662,824 : 228,279,410 = 228,279,410 : x
  2. Step 2: Convert to fraction form
    102,662,824/228,279,410 = 228,279,410/x
  3. Step 3: Cross multiply
    102,662,824x = 228,279,410 × 228,279,410
  4. Step 4: Simplify right side
    102,662,824x = 52,111,489,029,948,096
  5. Step 5: Solve for x
    x = 52,111,489,029,948,096/102,662,824
  6. Step 6: Final answer
    x = 507,598,437.29

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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.