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Finding the Third Proportional to 86,977,461 and 121,664,452.50

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Solution

The third proportional to 86,977,461 and 121,664,452.50 is: 170,184,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,977,461 : 121,664,452.50 = 121,664,452.50 : x
  2. Step 2: Convert to fraction form
    86,977,461/121,664,452.50 = 121,664,452.50/x
  3. Step 3: Cross multiply
    86,977,461x = 121,664,452.50 × 121,664,452.50
  4. Step 4: Simplify right side
    86,977,461x = 14,802,239,002,124,756
  5. Step 5: Solve for x
    x = 14,802,239,002,124,756/86,977,461
  6. Step 6: Final answer
    x = 170,184,767.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.