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Finding the Third Proportional to 97,449,409.34 and 216,686,971.34

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Solution

The third proportional to 97,449,409.34 and 216,686,971.34 is: 481,821,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,449,409.34 : 216,686,971.34 = 216,686,971.34 : x
  2. Step 2: Convert to fraction form
    97,449,409.34/216,686,971.34 = 216,686,971.34/x
  3. Step 3: Cross multiply
    97,449,409.34x = 216,686,971.34 × 216,686,971.34
  4. Step 4: Simplify right side
    97,449,409.34x = 46,953,243,546,738,144
  5. Step 5: Solve for x
    x = 46,953,243,546,738,144/97,449,409.34
  6. Step 6: Final answer
    x = 481,821,735.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.