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Finding the Third Proportional to 108,965,696 and 162,503,616

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Solution

The third proportional to 108,965,696 and 162,503,616 is: 242,346,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,965,696 : 162,503,616 = 162,503,616 : x
  2. Step 2: Convert to fraction form
    108,965,696/162,503,616 = 162,503,616/x
  3. Step 3: Cross multiply
    108,965,696x = 162,503,616 × 162,503,616
  4. Step 4: Simplify right side
    108,965,696x = 26,407,425,213,075,456
  5. Step 5: Solve for x
    x = 26,407,425,213,075,456/108,965,696
  6. Step 6: Final answer
    x = 242,346,226.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.