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Finding the Third Proportional to 80,576,779.50 and 164,116,518

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Solution

The third proportional to 80,576,779.50 and 164,116,518 is: 334,267,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,576,779.50 : 164,116,518 = 164,116,518 : x
  2. Step 2: Convert to fraction form
    80,576,779.50/164,116,518 = 164,116,518/x
  3. Step 3: Cross multiply
    80,576,779.50x = 164,116,518 × 164,116,518
  4. Step 4: Simplify right side
    80,576,779.50x = 26,934,231,480,444,324
  5. Step 5: Solve for x
    x = 26,934,231,480,444,324/80,576,779.50
  6. Step 6: Final answer
    x = 334,267,907.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.