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Finding the Third Proportional to 117,223,742 and 172,324,101

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Solution

The third proportional to 117,223,742 and 172,324,101 is: 253,324,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,223,742 : 172,324,101 = 172,324,101 : x
  2. Step 2: Convert to fraction form
    117,223,742/172,324,101 = 172,324,101/x
  3. Step 3: Cross multiply
    117,223,742x = 172,324,101 × 172,324,101
  4. Step 4: Simplify right side
    117,223,742x = 29,695,595,785,458,200
  5. Step 5: Solve for x
    x = 29,695,595,785,458,200/117,223,742
  6. Step 6: Final answer
    x = 253,324,073.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.