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Finding the Third Proportional to 92,714.63 and 201,953.25

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Solution

The third proportional to 92,714.63 and 201,953.25 is: 439,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,714.63 : 201,953.25 = 201,953.25 : x
  2. Step 2: Convert to fraction form
    92,714.63/201,953.25 = 201,953.25/x
  3. Step 3: Cross multiply
    92,714.63x = 201,953.25 × 201,953.25
  4. Step 4: Simplify right side
    92,714.63x = 40,785,115,185.56
  5. Step 5: Solve for x
    x = 40,785,115,185.56/92,714.63
  6. Step 6: Final answer
    x = 439,899.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.