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Finding the Third Proportional to 83,804.63 and 197,653.50

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Solution

The third proportional to 83,804.63 and 197,653.50 is: 466,166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,804.63 : 197,653.50 = 197,653.50 : x
  2. Step 2: Convert to fraction form
    83,804.63/197,653.50 = 197,653.50/x
  3. Step 3: Cross multiply
    83,804.63x = 197,653.50 × 197,653.50
  4. Step 4: Simplify right side
    83,804.63x = 39,066,906,062.25
  5. Step 5: Solve for x
    x = 39,066,906,062.25/83,804.63
  6. Step 6: Final answer
    x = 466,166.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.