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Finding the Third Proportional to 45,461.50 and 98,699

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Solution

The third proportional to 45,461.50 and 98,699 is: 214,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,461.50 : 98,699 = 98,699 : x
  2. Step 2: Convert to fraction form
    45,461.50/98,699 = 98,699/x
  3. Step 3: Cross multiply
    45,461.50x = 98,699 × 98,699
  4. Step 4: Simplify right side
    45,461.50x = 9,741,492,601
  5. Step 5: Solve for x
    x = 9,741,492,601/45,461.50
  6. Step 6: Final answer
    x = 214,280.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.