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Finding the Third Proportional to 102,324,947,274 and 228,177,715,999.50

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Solution

The third proportional to 102,324,947,274 and 228,177,715,999.50 is: 508,820,883,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,324,947,274 : 228,177,715,999.50 = 228,177,715,999.50 : x
  2. Step 2: Convert to fraction form
    102,324,947,274/228,177,715,999.50 = 228,177,715,999.50/x
  3. Step 3: Cross multiply
    102,324,947,274x = 228,177,715,999.50 × 228,177,715,999.50
  4. Step 4: Simplify right side
    102,324,947,274x = 52,065,070,078,748,474,212,352
  5. Step 5: Solve for x
    x = 52,065,070,078,748,474,212,352/102,324,947,274
  6. Step 6: Final answer
    x = 508,820,883,526.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.