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Finding the Third Proportional to 76,707,408 and 164,798,592

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Solution

The third proportional to 76,707,408 and 164,798,592 is: 354,054,147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,707,408 : 164,798,592 = 164,798,592 : x
  2. Step 2: Convert to fraction form
    76,707,408/164,798,592 = 164,798,592/x
  3. Step 3: Cross multiply
    76,707,408x = 164,798,592 × 164,798,592
  4. Step 4: Simplify right side
    76,707,408x = 27,158,575,925,182,464
  5. Step 5: Solve for x
    x = 27,158,575,925,182,464/76,707,408
  6. Step 6: Final answer
    x = 354,054,147.22

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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.