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Finding the Third Proportional to 66,506.91 and 99,516.94

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Solution

The third proportional to 66,506.91 and 99,516.94 is: 148,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,506.91 : 99,516.94 = 99,516.94 : x
  2. Step 2: Convert to fraction form
    66,506.91/99,516.94 = 99,516.94/x
  3. Step 3: Cross multiply
    66,506.91x = 99,516.94 × 99,516.94
  4. Step 4: Simplify right side
    66,506.91x = 9,903,620,849.38
  5. Step 5: Solve for x
    x = 9,903,620,849.38/66,506.91
  6. Step 6: Final answer
    x = 148,911.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.