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Finding the Third Proportional to 83,145.81 and 128,458.94

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Solution

The third proportional to 83,145.81 and 128,458.94 is: 198,466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,145.81 : 128,458.94 = 128,458.94 : x
  2. Step 2: Convert to fraction form
    83,145.81/128,458.94 = 128,458.94/x
  3. Step 3: Cross multiply
    83,145.81x = 128,458.94 × 128,458.94
  4. Step 4: Simplify right side
    83,145.81x = 16,501,698,623.63
  5. Step 5: Solve for x
    x = 16,501,698,623.63/83,145.81
  6. Step 6: Final answer
    x = 198,466.98

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