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Finding the Third Proportional to 96,430.50 and 208,899

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Solution

The third proportional to 96,430.50 and 208,899 is: 452,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,430.50 : 208,899 = 208,899 : x
  2. Step 2: Convert to fraction form
    96,430.50/208,899 = 208,899/x
  3. Step 3: Cross multiply
    96,430.50x = 208,899 × 208,899
  4. Step 4: Simplify right side
    96,430.50x = 43,638,792,201
  5. Step 5: Solve for x
    x = 43,638,792,201/96,430.50
  6. Step 6: Final answer
    x = 452,541.39

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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.