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Finding the Third Proportional to 44,339.06 and 97,301.06

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Solution

The third proportional to 44,339.06 and 97,301.06 is: 213,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,339.06 : 97,301.06 = 97,301.06 : x
  2. Step 2: Convert to fraction form
    44,339.06/97,301.06 = 97,301.06/x
  3. Step 3: Cross multiply
    44,339.06x = 97,301.06 × 97,301.06
  4. Step 4: Simplify right side
    44,339.06x = 9,467,496,763.63
  5. Step 5: Solve for x
    x = 9,467,496,763.63/44,339.06
  6. Step 6: Final answer
    x = 213,524.96

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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.