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Finding the Third Proportional to 44,339.94 and 97,303.06

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Solution

The third proportional to 44,339.94 and 97,303.06 is: 213,529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,339.94 : 97,303.06 = 97,303.06 : x
  2. Step 2: Convert to fraction form
    44,339.94/97,303.06 = 97,303.06/x
  3. Step 3: Cross multiply
    44,339.94x = 97,303.06 × 97,303.06
  4. Step 4: Simplify right side
    44,339.94x = 9,467,885,971.88
  5. Step 5: Solve for x
    x = 9,467,885,971.88/44,339.94
  6. Step 6: Final answer
    x = 213,529.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.