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Finding the Third Proportional to 97,086,609 and 208,581,174

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Solution

The third proportional to 97,086,609 and 208,581,174 is: 448,116,445.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,086,609 : 208,581,174 = 208,581,174 : x
  2. Step 2: Convert to fraction form
    97,086,609/208,581,174 = 208,581,174/x
  3. Step 3: Cross multiply
    97,086,609x = 208,581,174 × 208,581,174
  4. Step 4: Simplify right side
    97,086,609x = 43,506,106,147,218,272
  5. Step 5: Solve for x
    x = 43,506,106,147,218,272/97,086,609
  6. Step 6: Final answer
    x = 448,116,445.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.