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Finding the Third Proportional to 254,364,543 and 550,986,381

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Solution

The third proportional to 254,364,543 and 550,986,381 is: 1,193,507,508.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,364,543 : 550,986,381 = 550,986,381 : x
  2. Step 2: Convert to fraction form
    254,364,543/550,986,381 = 550,986,381/x
  3. Step 3: Cross multiply
    254,364,543x = 550,986,381 × 550,986,381
  4. Step 4: Simplify right side
    254,364,543x = 303,585,992,047,477,184
  5. Step 5: Solve for x
    x = 303,585,992,047,477,184/254,364,543
  6. Step 6: Final answer
    x = 1,193,507,508.82

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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.