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Finding the Third Proportional to 44,604 and 97,204.50

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Solution

The third proportional to 44,604 and 97,204.50 is: 211,835.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,604 : 97,204.50 = 97,204.50 : x
  2. Step 2: Convert to fraction form
    44,604/97,204.50 = 97,204.50/x
  3. Step 3: Cross multiply
    44,604x = 97,204.50 × 97,204.50
  4. Step 4: Simplify right side
    44,604x = 9,448,714,820.25
  5. Step 5: Solve for x
    x = 9,448,714,820.25/44,604
  6. Step 6: Final answer
    x = 211,835.59

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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.