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Finding the Third Proportional to 98,494,576 and 147,190,566

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Solution

The third proportional to 98,494,576 and 147,190,566 is: 219,961,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,494,576 : 147,190,566 = 147,190,566 : x
  2. Step 2: Convert to fraction form
    98,494,576/147,190,566 = 147,190,566/x
  3. Step 3: Cross multiply
    98,494,576x = 147,190,566 × 147,190,566
  4. Step 4: Simplify right side
    98,494,576x = 21,665,062,719,400,356
  5. Step 5: Solve for x
    x = 21,665,062,719,400,356/98,494,576
  6. Step 6: Final answer
    x = 219,961,987.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.