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Finding the Third Proportional to 95,792.63 and 208,159.88

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Solution

The third proportional to 95,792.63 and 208,159.88 is: 452,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,792.63 : 208,159.88 = 208,159.88 : x
  2. Step 2: Convert to fraction form
    95,792.63/208,159.88 = 208,159.88/x
  3. Step 3: Cross multiply
    95,792.63x = 208,159.88 × 208,159.88
  4. Step 4: Simplify right side
    95,792.63x = 43,330,533,560.02
  5. Step 5: Solve for x
    x = 43,330,533,560.02/95,792.63
  6. Step 6: Final answer
    x = 452,336.84

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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.