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Finding the Third Proportional to 55,369,954 and 121,165,742

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Solution

The third proportional to 55,369,954 and 121,165,742 is: 265,146,274.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,369,954 : 121,165,742 = 121,165,742 : x
  2. Step 2: Convert to fraction form
    55,369,954/121,165,742 = 121,165,742/x
  3. Step 3: Cross multiply
    55,369,954x = 121,165,742 × 121,165,742
  4. Step 4: Simplify right side
    55,369,954x = 14,681,137,034,410,564
  5. Step 5: Solve for x
    x = 14,681,137,034,410,564/55,369,954
  6. Step 6: Final answer
    x = 265,146,274.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.