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Finding the Third Proportional to 166,293,460,028 and 341,402,620,821

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Solution

The third proportional to 166,293,460,028 and 341,402,620,821 is: 700,903,989,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,293,460,028 : 341,402,620,821 = 341,402,620,821 : x
  2. Step 2: Convert to fraction form
    166,293,460,028/341,402,620,821 = 341,402,620,821/x
  3. Step 3: Cross multiply
    166,293,460,028x = 341,402,620,821 × 341,402,620,821
  4. Step 4: Simplify right side
    166,293,460,028x = 116,555,749,503,447,508,975,616
  5. Step 5: Solve for x
    x = 116,555,749,503,447,508,975,616/166,293,460,028
  6. Step 6: Final answer
    x = 700,903,989,151.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.