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Finding the Third Proportional to 76,830,408 and 117,196,848

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Solution

The third proportional to 76,830,408 and 117,196,848 is: 178,771,680.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,830,408 : 117,196,848 = 117,196,848 : x
  2. Step 2: Convert to fraction form
    76,830,408/117,196,848 = 117,196,848/x
  3. Step 3: Cross multiply
    76,830,408x = 117,196,848 × 117,196,848
  4. Step 4: Simplify right side
    76,830,408x = 13,735,101,181,135,104
  5. Step 5: Solve for x
    x = 13,735,101,181,135,104/76,830,408
  6. Step 6: Final answer
    x = 178,771,680.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.