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Finding the Third Proportional to 97,454 and 209,947

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Solution

The third proportional to 97,454 and 209,947 is: 452,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,454 : 209,947 = 209,947 : x
  2. Step 2: Convert to fraction form
    97,454/209,947 = 209,947/x
  3. Step 3: Cross multiply
    97,454x = 209,947 × 209,947
  4. Step 4: Simplify right side
    97,454x = 44,077,742,809
  5. Step 5: Solve for x
    x = 44,077,742,809/97,454
  6. Step 6: Final answer
    x = 452,292.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.