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Finding the Third Proportional to 86,947.50 and 183,235.50

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Solution

The third proportional to 86,947.50 and 183,235.50 is: 386,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,947.50 : 183,235.50 = 183,235.50 : x
  2. Step 2: Convert to fraction form
    86,947.50/183,235.50 = 183,235.50/x
  3. Step 3: Cross multiply
    86,947.50x = 183,235.50 × 183,235.50
  4. Step 4: Simplify right side
    86,947.50x = 33,575,248,460.25
  5. Step 5: Solve for x
    x = 33,575,248,460.25/86,947.50
  6. Step 6: Final answer
    x = 386,155.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.