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Finding the Third Proportional to 88,783.50 and 188,583

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Solution

The third proportional to 88,783.50 and 188,583 is: 400,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,783.50 : 188,583 = 188,583 : x
  2. Step 2: Convert to fraction form
    88,783.50/188,583 = 188,583/x
  3. Step 3: Cross multiply
    88,783.50x = 188,583 × 188,583
  4. Step 4: Simplify right side
    88,783.50x = 35,563,547,889
  5. Step 5: Solve for x
    x = 35,563,547,889/88,783.50
  6. Step 6: Final answer
    x = 400,564.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.