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Finding the Third Proportional to 46,923,478 and 98,137,201

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Solution

The third proportional to 46,923,478 and 98,137,201 is: 205,247,151.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,923,478 : 98,137,201 = 98,137,201 : x
  2. Step 2: Convert to fraction form
    46,923,478/98,137,201 = 98,137,201/x
  3. Step 3: Cross multiply
    46,923,478x = 98,137,201 × 98,137,201
  4. Step 4: Simplify right side
    46,923,478x = 9,630,910,220,114,400
  5. Step 5: Solve for x
    x = 9,630,910,220,114,400/46,923,478
  6. Step 6: Final answer
    x = 205,247,151.97

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.