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Finding the Third Proportional to 46,279,188 and 96,145,587

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Solution

The third proportional to 46,279,188 and 96,145,587 is: 199,743,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,279,188 : 96,145,587 = 96,145,587 : x
  2. Step 2: Convert to fraction form
    46,279,188/96,145,587 = 96,145,587/x
  3. Step 3: Cross multiply
    46,279,188x = 96,145,587 × 96,145,587
  4. Step 4: Simplify right side
    46,279,188x = 9,243,973,899,574,568
  5. Step 5: Solve for x
    x = 9,243,973,899,574,568/46,279,188
  6. Step 6: Final answer
    x = 199,743,649.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.