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Finding the Third Proportional to 84,916,906.50 and 127,242,015

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Solution

The third proportional to 84,916,906.50 and 127,242,015 is: 190,663,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,916,906.50 : 127,242,015 = 127,242,015 : x
  2. Step 2: Convert to fraction form
    84,916,906.50/127,242,015 = 127,242,015/x
  3. Step 3: Cross multiply
    84,916,906.50x = 127,242,015 × 127,242,015
  4. Step 4: Simplify right side
    84,916,906.50x = 16,190,530,381,260,224
  5. Step 5: Solve for x
    x = 16,190,530,381,260,224/84,916,906.50
  6. Step 6: Final answer
    x = 190,663,214.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.