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Finding the Third Proportional to 66,085.88 and 99,741.38

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Solution

The third proportional to 66,085.88 and 99,741.38 is: 150,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,085.88 : 99,741.38 = 99,741.38 : x
  2. Step 2: Convert to fraction form
    66,085.88/99,741.38 = 99,741.38/x
  3. Step 3: Cross multiply
    66,085.88x = 99,741.38 × 99,741.38
  4. Step 4: Simplify right side
    66,085.88x = 9,948,341,886.89
  5. Step 5: Solve for x
    x = 9,948,341,886.89/66,085.88
  6. Step 6: Final answer
    x = 150,536.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.