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Finding the Third Proportional to 94,929 and 208,804.50

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Solution

The third proportional to 94,929 and 208,804.50 is: 459,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,929 : 208,804.50 = 208,804.50 : x
  2. Step 2: Convert to fraction form
    94,929/208,804.50 = 208,804.50/x
  3. Step 3: Cross multiply
    94,929x = 208,804.50 × 208,804.50
  4. Step 4: Simplify right side
    94,929x = 43,599,319,220.25
  5. Step 5: Solve for x
    x = 43,599,319,220.25/94,929
  6. Step 6: Final answer
    x = 459,283.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.