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Finding the Third Proportional to 86,166,729,245 and 188,565,381,475

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Solution

The third proportional to 86,166,729,245 and 188,565,381,475 is: 412,652,347,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,166,729,245 : 188,565,381,475 = 188,565,381,475 : x
  2. Step 2: Convert to fraction form
    86,166,729,245/188,565,381,475 = 188,565,381,475/x
  3. Step 3: Cross multiply
    86,166,729,245x = 188,565,381,475 × 188,565,381,475
  4. Step 4: Simplify right side
    86,166,729,245x = 35,556,903,090,812,272,771,072
  5. Step 5: Solve for x
    x = 35,556,903,090,812,272,771,072/86,166,729,245
  6. Step 6: Final answer
    x = 412,652,347,400.96

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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.