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Finding the Third Proportional to 49,058,616 and 103,202,160

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Solution

The third proportional to 49,058,616 and 103,202,160 is: 217,101,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,058,616 : 103,202,160 = 103,202,160 : x
  2. Step 2: Convert to fraction form
    49,058,616/103,202,160 = 103,202,160/x
  3. Step 3: Cross multiply
    49,058,616x = 103,202,160 × 103,202,160
  4. Step 4: Simplify right side
    49,058,616x = 10,650,685,828,665,600
  5. Step 5: Solve for x
    x = 10,650,685,828,665,600/49,058,616
  6. Step 6: Final answer
    x = 217,101,229.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.