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Finding the Third Proportional to 45,970,047 and 98,914,500

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Solution

The third proportional to 45,970,047 and 98,914,500 is: 212,835,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,970,047 : 98,914,500 = 98,914,500 : x
  2. Step 2: Convert to fraction form
    45,970,047/98,914,500 = 98,914,500/x
  3. Step 3: Cross multiply
    45,970,047x = 98,914,500 × 98,914,500
  4. Step 4: Simplify right side
    45,970,047x = 9,784,078,310,250,000
  5. Step 5: Solve for x
    x = 9,784,078,310,250,000/45,970,047
  6. Step 6: Final answer
    x = 212,835,943.16

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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.