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Finding the Third Proportional to 121,605,097,043 and 261,511,343,035

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Solution

The third proportional to 121,605,097,043 and 261,511,343,035 is: 562,379,243,953.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,605,097,043 : 261,511,343,035 = 261,511,343,035 : x
  2. Step 2: Convert to fraction form
    121,605,097,043/261,511,343,035 = 261,511,343,035/x
  3. Step 3: Cross multiply
    121,605,097,043x = 261,511,343,035 × 261,511,343,035
  4. Step 4: Simplify right side
    121,605,097,043x = 68,388,182,535,969,443,938,304
  5. Step 5: Solve for x
    x = 68,388,182,535,969,443,938,304/121,605,097,043
  6. Step 6: Final answer
    x = 562,379,243,953.79

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