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Finding the Third Proportional to 97,007.63 and 212,878.13

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Solution

The third proportional to 97,007.63 and 212,878.13 is: 467,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,007.63 : 212,878.13 = 212,878.13 : x
  2. Step 2: Convert to fraction form
    97,007.63/212,878.13 = 212,878.13/x
  3. Step 3: Cross multiply
    97,007.63x = 212,878.13 × 212,878.13
  4. Step 4: Simplify right side
    97,007.63x = 45,317,096,103.52
  5. Step 5: Solve for x
    x = 45,317,096,103.52/97,007.63
  6. Step 6: Final answer
    x = 467,149.84

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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.