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Finding the Third Proportional to 45,305,120 and 97,822,912

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Solution

The third proportional to 45,305,120 and 97,822,912 is: 211,219,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,305,120 : 97,822,912 = 97,822,912 : x
  2. Step 2: Convert to fraction form
    45,305,120/97,822,912 = 97,822,912/x
  3. Step 3: Cross multiply
    45,305,120x = 97,822,912 × 97,822,912
  4. Step 4: Simplify right side
    45,305,120x = 9,569,322,112,159,744
  5. Step 5: Solve for x
    x = 9,569,322,112,159,744/45,305,120
  6. Step 6: Final answer
    x = 211,219,440.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.