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Finding the Third Proportional to 96,688 and 209,506

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Solution

The third proportional to 96,688 and 209,506 is: 453,962.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,688 : 209,506 = 209,506 : x
  2. Step 2: Convert to fraction form
    96,688/209,506 = 209,506/x
  3. Step 3: Cross multiply
    96,688x = 209,506 × 209,506
  4. Step 4: Simplify right side
    96,688x = 43,892,764,036
  5. Step 5: Solve for x
    x = 43,892,764,036/96,688
  6. Step 6: Final answer
    x = 453,962.89

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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.