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Finding the Third Proportional to 208,159.88 and 447,886.97

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Solution

The third proportional to 208,159.88 and 447,886.97 is: 963,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,159.88 : 447,886.97 = 447,886.97 : x
  2. Step 2: Convert to fraction form
    208,159.88/447,886.97 = 447,886.97/x
  3. Step 3: Cross multiply
    208,159.88x = 447,886.97 × 447,886.97
  4. Step 4: Simplify right side
    208,159.88x = 200,602,736,776.06
  5. Step 5: Solve for x
    x = 200,602,736,776.06/208,159.88
  6. Step 6: Final answer
    x = 963,695.51

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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.