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Finding the Third Proportional to 46,582,736 and 97,984,400

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Solution

The third proportional to 46,582,736 and 97,984,400 is: 206,105,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,582,736 : 97,984,400 = 97,984,400 : x
  2. Step 2: Convert to fraction form
    46,582,736/97,984,400 = 97,984,400/x
  3. Step 3: Cross multiply
    46,582,736x = 97,984,400 × 97,984,400
  4. Step 4: Simplify right side
    46,582,736x = 9,600,942,643,360,000
  5. Step 5: Solve for x
    x = 9,600,942,643,360,000/46,582,736
  6. Step 6: Final answer
    x = 206,105,168.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.