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Finding the Third Proportional to 98,266.50 and 210,556.13

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Solution

The third proportional to 98,266.50 and 210,556.13 is: 451,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,266.50 : 210,556.13 = 210,556.13 : x
  2. Step 2: Convert to fraction form
    98,266.50/210,556.13 = 210,556.13/x
  3. Step 3: Cross multiply
    98,266.50x = 210,556.13 × 210,556.13
  4. Step 4: Simplify right side
    98,266.50x = 44,333,881,775.02
  5. Step 5: Solve for x
    x = 44,333,881,775.02/98,266.50
  6. Step 6: Final answer
    x = 451,159.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.