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Finding the Third Proportional to 99,145.90 and 148,940.02

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Solution

The third proportional to 99,145.90 and 148,940.02 is: 223,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,145.90 : 148,940.02 = 148,940.02 : x
  2. Step 2: Convert to fraction form
    99,145.90/148,940.02 = 148,940.02/x
  3. Step 3: Cross multiply
    99,145.90x = 148,940.02 × 148,940.02
  4. Step 4: Simplify right side
    99,145.90x = 22,183,128,254.38
  5. Step 5: Solve for x
    x = 22,183,128,254.38/99,145.90
  6. Step 6: Final answer
    x = 223,742.27

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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.