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Finding the Third Proportional to 45,305,128 and 97,822,928

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Solution

The third proportional to 45,305,128 and 97,822,928 is: 211,219,472.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,305,128 : 97,822,928 = 97,822,928 : x
  2. Step 2: Convert to fraction form
    45,305,128/97,822,928 = 97,822,928/x
  3. Step 3: Cross multiply
    45,305,128x = 97,822,928 × 97,822,928
  4. Step 4: Simplify right side
    45,305,128x = 9,569,325,242,493,184
  5. Step 5: Solve for x
    x = 9,569,325,242,493,184/45,305,128
  6. Step 6: Final answer
    x = 211,219,472.61

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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.