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Finding the Third Proportional to 222,071.63 and 316,499.91

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Solution

The third proportional to 222,071.63 and 316,499.91 is: 451,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,071.63 : 316,499.91 = 316,499.91 : x
  2. Step 2: Convert to fraction form
    222,071.63/316,499.91 = 316,499.91/x
  3. Step 3: Cross multiply
    222,071.63x = 316,499.91 × 316,499.91
  4. Step 4: Simplify right side
    222,071.63x = 100,172,190,656.26
  5. Step 5: Solve for x
    x = 100,172,190,656.26/222,071.63
  6. Step 6: Final answer
    x = 451,080.55

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.