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Finding the Third Proportional to 101,993,210,184 and 218,314,042,147.50

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Solution

The third proportional to 101,993,210,184 and 218,314,042,147.50 is: 467,296,018,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,993,210,184 : 218,314,042,147.50 = 218,314,042,147.50 : x
  2. Step 2: Convert to fraction form
    101,993,210,184/218,314,042,147.50 = 218,314,042,147.50/x
  3. Step 3: Cross multiply
    101,993,210,184x = 218,314,042,147.50 × 218,314,042,147.50
  4. Step 4: Simplify right side
    101,993,210,184x = 47,661,020,998,780,407,775,232
  5. Step 5: Solve for x
    x = 47,661,020,998,780,407,775,232/101,993,210,184
  6. Step 6: Final answer
    x = 467,296,018,164.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.