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Finding the Third Proportional to 54,829,095.50 and 120,418,296.50

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Solution

The third proportional to 54,829,095.50 and 120,418,296.50 is: 264,468,454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,829,095.50 : 120,418,296.50 = 120,418,296.50 : x
  2. Step 2: Convert to fraction form
    54,829,095.50/120,418,296.50 = 120,418,296.50/x
  3. Step 3: Cross multiply
    54,829,095.50x = 120,418,296.50 × 120,418,296.50
  4. Step 4: Simplify right side
    54,829,095.50x = 14,500,566,131,961,912
  5. Step 5: Solve for x
    x = 14,500,566,131,961,912/54,829,095.50
  6. Step 6: Final answer
    x = 264,468,454.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.