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Finding the Third Proportional to 51,829,201 and 119,987,779.75

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Solution

The third proportional to 51,829,201 and 119,987,779.75 is: 277,779,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,201 : 119,987,779.75 = 119,987,779.75 : x
  2. Step 2: Convert to fraction form
    51,829,201/119,987,779.75 = 119,987,779.75/x
  3. Step 3: Cross multiply
    51,829,201x = 119,987,779.75 × 119,987,779.75
  4. Step 4: Simplify right side
    51,829,201x = 14,397,067,289,334,510
  5. Step 5: Solve for x
    x = 14,397,067,289,334,510/51,829,201
  6. Step 6: Final answer
    x = 277,779,070.71

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.