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Finding the Third Proportional to 112,649.63 and 228,407.63

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Solution

The third proportional to 112,649.63 and 228,407.63 is: 463,117.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,649.63 : 228,407.63 = 228,407.63 : x
  2. Step 2: Convert to fraction form
    112,649.63/228,407.63 = 228,407.63/x
  3. Step 3: Cross multiply
    112,649.63x = 228,407.63 × 228,407.63
  4. Step 4: Simplify right side
    112,649.63x = 52,170,043,158.14
  5. Step 5: Solve for x
    x = 52,170,043,158.14/112,649.63
  6. Step 6: Final answer
    x = 463,117.77

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.