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Finding the Third Proportional to 45,465 and 98,707

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Solution

The third proportional to 45,465 and 98,707 is: 214,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,465 : 98,707 = 98,707 : x
  2. Step 2: Convert to fraction form
    45,465/98,707 = 98,707/x
  3. Step 3: Cross multiply
    45,465x = 98,707 × 98,707
  4. Step 4: Simplify right side
    45,465x = 9,743,071,849
  5. Step 5: Solve for x
    x = 9,743,071,849/45,465
  6. Step 6: Final answer
    x = 214,298.29

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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.