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Finding the Third Proportional to 77,598.63 and 166,266.11

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Solution

The third proportional to 77,598.63 and 166,266.11 is: 356,248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,598.63 : 166,266.11 = 166,266.11 : x
  2. Step 2: Convert to fraction form
    77,598.63/166,266.11 = 166,266.11/x
  3. Step 3: Cross multiply
    77,598.63x = 166,266.11 × 166,266.11
  4. Step 4: Simplify right side
    77,598.63x = 27,644,417,827.75
  5. Step 5: Solve for x
    x = 27,644,417,827.75/77,598.63
  6. Step 6: Final answer
    x = 356,248.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.