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Finding the Third Proportional to 98,121,535,026 and 212,989,253,211.75

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Solution

The third proportional to 98,121,535,026 and 212,989,253,211.75 is: 462,328,906,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,121,535,026 : 212,989,253,211.75 = 212,989,253,211.75 : x
  2. Step 2: Convert to fraction form
    98,121,535,026/212,989,253,211.75 = 212,989,253,211.75/x
  3. Step 3: Cross multiply
    98,121,535,026x = 212,989,253,211.75 × 212,989,253,211.75
  4. Step 4: Simplify right side
    98,121,535,026x = 45,364,421,983,698,954,485,760
  5. Step 5: Solve for x
    x = 45,364,421,983,698,954,485,760/98,121,535,026
  6. Step 6: Final answer
    x = 462,328,906,408.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.