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Finding the Third Proportional to 51,829,202 and 119,987,782.50

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Solution

The third proportional to 51,829,202 and 119,987,782.50 is: 277,779,078.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,202 : 119,987,782.50 = 119,987,782.50 : x
  2. Step 2: Convert to fraction form
    51,829,202/119,987,782.50 = 119,987,782.50/x
  3. Step 3: Cross multiply
    51,829,202x = 119,987,782.50 × 119,987,782.50
  4. Step 4: Simplify right side
    51,829,202x = 14,397,067,949,267,306
  5. Step 5: Solve for x
    x = 14,397,067,949,267,306/51,829,202
  6. Step 6: Final answer
    x = 277,779,078.08

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Why These Related Problems?

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