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Finding the Third Proportional to 132,911.51 and 198,905.94

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Solution

The third proportional to 132,911.51 and 198,905.94 is: 297,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,911.51 : 198,905.94 = 198,905.94 : x
  2. Step 2: Convert to fraction form
    132,911.51/198,905.94 = 198,905.94/x
  3. Step 3: Cross multiply
    132,911.51x = 198,905.94 × 198,905.94
  4. Step 4: Simplify right side
    132,911.51x = 39,563,573,526.71
  5. Step 5: Solve for x
    x = 39,563,573,526.71/132,911.51
  6. Step 6: Final answer
    x = 297,668.53

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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.