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Finding the Third Proportional to 46,923,696 and 98,137,584

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Solution

The third proportional to 46,923,696 and 98,137,584 is: 205,247,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,923,696 : 98,137,584 = 98,137,584 : x
  2. Step 2: Convert to fraction form
    46,923,696/98,137,584 = 98,137,584/x
  3. Step 3: Cross multiply
    46,923,696x = 98,137,584 × 98,137,584
  4. Step 4: Simplify right side
    46,923,696x = 9,630,985,393,357,056
  5. Step 5: Solve for x
    x = 9,630,985,393,357,056/46,923,696
  6. Step 6: Final answer
    x = 205,247,800.46

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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.