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Finding the Third Proportional to 102,662,743.50 and 228,279,261

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Solution

The third proportional to 102,662,743.50 and 228,279,261 is: 507,598,172.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,662,743.50 : 228,279,261 = 228,279,261 : x
  2. Step 2: Convert to fraction form
    102,662,743.50/228,279,261 = 228,279,261/x
  3. Step 3: Cross multiply
    102,662,743.50x = 228,279,261 × 228,279,261
  4. Step 4: Simplify right side
    102,662,743.50x = 52,111,421,002,706,120
  5. Step 5: Solve for x
    x = 52,111,421,002,706,120/102,662,743.50
  6. Step 6: Final answer
    x = 507,598,172.68

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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.