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Finding the Third Proportional to 98,960 and 207,641

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Solution

The third proportional to 98,960 and 207,641 is: 435,678.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,960 : 207,641 = 207,641 : x
  2. Step 2: Convert to fraction form
    98,960/207,641 = 207,641/x
  3. Step 3: Cross multiply
    98,960x = 207,641 × 207,641
  4. Step 4: Simplify right side
    98,960x = 43,114,784,881
  5. Step 5: Solve for x
    x = 43,114,784,881/98,960
  6. Step 6: Final answer
    x = 435,678.91

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.