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Finding the Third Proportional to 112,473,256 and 149,240,007

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Solution

The third proportional to 112,473,256 and 149,240,007 is: 198,025,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,473,256 : 149,240,007 = 149,240,007 : x
  2. Step 2: Convert to fraction form
    112,473,256/149,240,007 = 149,240,007/x
  3. Step 3: Cross multiply
    112,473,256x = 149,240,007 × 149,240,007
  4. Step 4: Simplify right side
    112,473,256x = 22,272,579,689,360,048
  5. Step 5: Solve for x
    x = 22,272,579,689,360,048/112,473,256
  6. Step 6: Final answer
    x = 198,025,561.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.