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Finding the Third Proportional to 63,685,256 and 138,183,040

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Solution

The third proportional to 63,685,256 and 138,183,040 is: 299,826,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,685,256 : 138,183,040 = 138,183,040 : x
  2. Step 2: Convert to fraction form
    63,685,256/138,183,040 = 138,183,040/x
  3. Step 3: Cross multiply
    63,685,256x = 138,183,040 × 138,183,040
  4. Step 4: Simplify right side
    63,685,256x = 19,094,552,543,641,600
  5. Step 5: Solve for x
    x = 19,094,552,543,641,600/63,685,256
  6. Step 6: Final answer
    x = 299,826,894.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.