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Finding the Third Proportional to 105,868,192 and 161,916,672

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Solution

The third proportional to 105,868,192 and 161,916,672 is: 247,638,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,868,192 : 161,916,672 = 161,916,672 : x
  2. Step 2: Convert to fraction form
    105,868,192/161,916,672 = 161,916,672/x
  3. Step 3: Cross multiply
    105,868,192x = 161,916,672 × 161,916,672
  4. Step 4: Simplify right side
    105,868,192x = 26,217,008,671,555,584
  5. Step 5: Solve for x
    x = 26,217,008,671,555,584/105,868,192
  6. Step 6: Final answer
    x = 247,638,201.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.