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Finding the Third Proportional to 46,985,544 and 101,168,889

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Solution

The third proportional to 46,985,544 and 101,168,889 is: 217,836,024.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,985,544 : 101,168,889 = 101,168,889 : x
  2. Step 2: Convert to fraction form
    46,985,544/101,168,889 = 101,168,889/x
  3. Step 3: Cross multiply
    46,985,544x = 101,168,889 × 101,168,889
  4. Step 4: Simplify right side
    46,985,544x = 10,235,144,101,494,320
  5. Step 5: Solve for x
    x = 10,235,144,101,494,320/46,985,544
  6. Step 6: Final answer
    x = 217,836,024.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.