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Finding the Third Proportional to 45,006 and 98,485.50

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Solution

The third proportional to 45,006 and 98,485.50 is: 215,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,006 : 98,485.50 = 98,485.50 : x
  2. Step 2: Convert to fraction form
    45,006/98,485.50 = 98,485.50/x
  3. Step 3: Cross multiply
    45,006x = 98,485.50 × 98,485.50
  4. Step 4: Simplify right side
    45,006x = 9,699,393,710.25
  5. Step 5: Solve for x
    x = 9,699,393,710.25/45,006
  6. Step 6: Final answer
    x = 215,513.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.