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Finding the Third Proportional to 88,466.34 and 192,484.69

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Solution

The third proportional to 88,466.34 and 192,484.69 is: 418,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,466.34 : 192,484.69 = 192,484.69 : x
  2. Step 2: Convert to fraction form
    88,466.34/192,484.69 = 192,484.69/x
  3. Step 3: Cross multiply
    88,466.34x = 192,484.69 × 192,484.69
  4. Step 4: Simplify right side
    88,466.34x = 37,050,354,921.97
  5. Step 5: Solve for x
    x = 37,050,354,921.97/88,466.34
  6. Step 6: Final answer
    x = 418,807.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.