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Finding the Third Proportional to 121,605,097,102 and 261,511,343,156

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Solution

The third proportional to 121,605,097,102 and 261,511,343,156 is: 562,379,244,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,605,097,102 : 261,511,343,156 = 261,511,343,156 : x
  2. Step 2: Convert to fraction form
    121,605,097,102/261,511,343,156 = 261,511,343,156/x
  3. Step 3: Cross multiply
    121,605,097,102x = 261,511,343,156 × 261,511,343,156
  4. Step 4: Simplify right side
    121,605,097,102x = 68,388,182,599,255,191,453,696
  5. Step 5: Solve for x
    x = 68,388,182,599,255,191,453,696/121,605,097,102
  6. Step 6: Final answer
    x = 562,379,244,201.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.