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Finding the Third Proportional to 254,361,946.75 and 550,980,891.50

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Solution

The third proportional to 254,361,946.75 and 550,980,891.50 is: 1,193,495,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,361,946.75 : 550,980,891.50 = 550,980,891.50 : x
  2. Step 2: Convert to fraction form
    254,361,946.75/550,980,891.50 = 550,980,891.50/x
  3. Step 3: Cross multiply
    254,361,946.75x = 550,980,891.50 × 550,980,891.50
  4. Step 4: Simplify right side
    254,361,946.75x = 303,579,942,798,134,784
  5. Step 5: Solve for x
    x = 303,579,942,798,134,784/254,361,946.75
  6. Step 6: Final answer
    x = 1,193,495,908.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.