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Finding the Third Proportional to 97,686 and 214,072.88

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Solution

The third proportional to 97,686 and 214,072.88 is: 469,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,686 : 214,072.88 = 214,072.88 : x
  2. Step 2: Convert to fraction form
    97,686/214,072.88 = 214,072.88/x
  3. Step 3: Cross multiply
    97,686x = 214,072.88 × 214,072.88
  4. Step 4: Simplify right side
    97,686x = 45,827,195,810.77
  5. Step 5: Solve for x
    x = 45,827,195,810.77/97,686
  6. Step 6: Final answer
    x = 469,127.57

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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.