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Finding the Third Proportional to 96,973,848 and 215,471,097

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Solution

The third proportional to 96,973,848 and 215,471,097 is: 478,766,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,973,848 : 215,471,097 = 215,471,097 : x
  2. Step 2: Convert to fraction form
    96,973,848/215,471,097 = 215,471,097/x
  3. Step 3: Cross multiply
    96,973,848x = 215,471,097 × 215,471,097
  4. Step 4: Simplify right side
    96,973,848x = 46,427,793,642,383,408
  5. Step 5: Solve for x
    x = 46,427,793,642,383,408/96,973,848
  6. Step 6: Final answer
    x = 478,766,127.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.