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Finding the Third Proportional to 64,144.41 and 148,651.45

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Solution

The third proportional to 64,144.41 and 148,651.45 is: 344,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,144.41 : 148,651.45 = 148,651.45 : x
  2. Step 2: Convert to fraction form
    64,144.41/148,651.45 = 148,651.45/x
  3. Step 3: Cross multiply
    64,144.41x = 148,651.45 × 148,651.45
  4. Step 4: Simplify right side
    64,144.41x = 22,097,254,516.17
  5. Step 5: Solve for x
    x = 22,097,254,516.17/64,144.41
  6. Step 6: Final answer
    x = 344,492.31

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.