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Finding the Third Proportional to 98,476 and 147,679

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Solution

The third proportional to 98,476 and 147,679 is: 221,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,476 : 147,679 = 147,679 : x
  2. Step 2: Convert to fraction form
    98,476/147,679 = 147,679/x
  3. Step 3: Cross multiply
    98,476x = 147,679 × 147,679
  4. Step 4: Simplify right side
    98,476x = 21,809,087,041
  5. Step 5: Solve for x
    x = 21,809,087,041/98,476
  6. Step 6: Final answer
    x = 221,466.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.