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Finding the Third Proportional to 104,895 and 228,460.50

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Solution

The third proportional to 104,895 and 228,460.50 is: 497,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,895 : 228,460.50 = 228,460.50 : x
  2. Step 2: Convert to fraction form
    104,895/228,460.50 = 228,460.50/x
  3. Step 3: Cross multiply
    104,895x = 228,460.50 × 228,460.50
  4. Step 4: Simplify right side
    104,895x = 52,194,200,060.25
  5. Step 5: Solve for x
    x = 52,194,200,060.25/104,895
  6. Step 6: Final answer
    x = 497,585.20

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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.