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Finding the Third Proportional to 97,756.88 and 214,199.44

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Solution

The third proportional to 97,756.88 and 214,199.44 is: 469,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,756.88 : 214,199.44 = 214,199.44 : x
  2. Step 2: Convert to fraction form
    97,756.88/214,199.44 = 214,199.44/x
  3. Step 3: Cross multiply
    97,756.88x = 214,199.44 × 214,199.44
  4. Step 4: Simplify right side
    97,756.88x = 45,881,399,025.32
  5. Step 5: Solve for x
    x = 45,881,399,025.32/97,756.88
  6. Step 6: Final answer
    x = 469,341.92

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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.