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Finding the Third Proportional to 89,127.84 and 185,598.84

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Solution

The third proportional to 89,127.84 and 185,598.84 is: 386,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,127.84 : 185,598.84 = 185,598.84 : x
  2. Step 2: Convert to fraction form
    89,127.84/185,598.84 = 185,598.84/x
  3. Step 3: Cross multiply
    89,127.84x = 185,598.84 × 185,598.84
  4. Step 4: Simplify right side
    89,127.84x = 34,446,930,801.34
  5. Step 5: Solve for x
    x = 34,446,930,801.34/89,127.84
  6. Step 6: Final answer
    x = 386,489.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.