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Finding the Third Proportional to 45,013 and 97,004.50

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Solution

The third proportional to 45,013 and 97,004.50 is: 209,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,013 : 97,004.50 = 97,004.50 : x
  2. Step 2: Convert to fraction form
    45,013/97,004.50 = 97,004.50/x
  3. Step 3: Cross multiply
    45,013x = 97,004.50 × 97,004.50
  4. Step 4: Simplify right side
    45,013x = 9,409,873,020.25
  5. Step 5: Solve for x
    x = 9,409,873,020.25/45,013
  6. Step 6: Final answer
    x = 209,047.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.