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Finding the Third Proportional to 132,881.61 and 205,197.84

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Solution

The third proportional to 132,881.61 and 205,197.84 is: 316,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,881.61 : 205,197.84 = 205,197.84 : x
  2. Step 2: Convert to fraction form
    132,881.61/205,197.84 = 205,197.84/x
  3. Step 3: Cross multiply
    132,881.61x = 205,197.84 × 205,197.84
  4. Step 4: Simplify right side
    132,881.61x = 42,106,152,674.99
  5. Step 5: Solve for x
    x = 42,106,152,674.99/132,881.61
  6. Step 6: Final answer
    x = 316,869.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.