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Finding the Third Proportional to 180,145,662.75 and 393,323,706

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Solution

The third proportional to 180,145,662.75 and 393,323,706 is: 858,769,150.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,145,662.75 : 393,323,706 = 393,323,706 : x
  2. Step 2: Convert to fraction form
    180,145,662.75/393,323,706 = 393,323,706/x
  3. Step 3: Cross multiply
    180,145,662.75x = 393,323,706 × 393,323,706
  4. Step 4: Simplify right side
    180,145,662.75x = 154,703,537,701,574,432
  5. Step 5: Solve for x
    x = 154,703,537,701,574,432/180,145,662.75
  6. Step 6: Final answer
    x = 858,769,150.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.