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Finding the Third Proportional to 76,702,585.50 and 164,789,230.50

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Solution

The third proportional to 76,702,585.50 and 164,789,230.50 is: 354,036,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,702,585.50 : 164,789,230.50 = 164,789,230.50 : x
  2. Step 2: Convert to fraction form
    76,702,585.50/164,789,230.50 = 164,789,230.50/x
  3. Step 3: Cross multiply
    76,702,585.50x = 164,789,230.50 × 164,789,230.50
  4. Step 4: Simplify right side
    76,702,585.50x = 27,155,490,488,782,132
  5. Step 5: Solve for x
    x = 27,155,490,488,782,132/76,702,585.50
  6. Step 6: Final answer
    x = 354,036,181.59

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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.