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Finding the Third Proportional to 45,982.69 and 97,809.19

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Solution

The third proportional to 45,982.69 and 97,809.19 is: 208,048.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,982.69 : 97,809.19 = 97,809.19 : x
  2. Step 2: Convert to fraction form
    45,982.69/97,809.19 = 97,809.19/x
  3. Step 3: Cross multiply
    45,982.69x = 97,809.19 × 97,809.19
  4. Step 4: Simplify right side
    45,982.69x = 9,566,637,159.41
  5. Step 5: Solve for x
    x = 9,566,637,159.41/45,982.69
  6. Step 6: Final answer
    x = 208,048.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.