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Finding the Third Proportional to 96,495 and 209,495

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Solution

The third proportional to 96,495 and 209,495 is: 454,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,495 : 209,495 = 209,495 : x
  2. Step 2: Convert to fraction form
    96,495/209,495 = 209,495/x
  3. Step 3: Cross multiply
    96,495x = 209,495 × 209,495
  4. Step 4: Simplify right side
    96,495x = 43,888,155,025
  5. Step 5: Solve for x
    x = 43,888,155,025/96,495
  6. Step 6: Final answer
    x = 454,823.10

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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.