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Finding the Third Proportional to 86,166,729,239 and 188,565,381,459

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Solution

The third proportional to 86,166,729,239 and 188,565,381,459 is: 412,652,347,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,166,729,239 : 188,565,381,459 = 188,565,381,459 : x
  2. Step 2: Convert to fraction form
    86,166,729,239/188,565,381,459 = 188,565,381,459/x
  3. Step 3: Cross multiply
    86,166,729,239x = 188,565,381,459 × 188,565,381,459
  4. Step 4: Simplify right side
    86,166,729,239x = 35,556,903,084,778,179,264,512
  5. Step 5: Solve for x
    x = 35,556,903,084,778,179,264,512/86,166,729,239
  6. Step 6: Final answer
    x = 412,652,347,359.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.