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Finding the Third Proportional to 223,971,061 and 465,820,845

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Solution

The third proportional to 223,971,061 and 465,820,845 is: 968,826,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,971,061 : 465,820,845 = 465,820,845 : x
  2. Step 2: Convert to fraction form
    223,971,061/465,820,845 = 465,820,845/x
  3. Step 3: Cross multiply
    223,971,061x = 465,820,845 × 465,820,845
  4. Step 4: Simplify right side
    223,971,061x = 216,989,059,636,514,016
  5. Step 5: Solve for x
    x = 216,989,059,636,514,016/223,971,061
  6. Step 6: Final answer
    x = 968,826,323.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.