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Finding the Third Proportional to 119,149,548 and 257,118,311

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Solution

The third proportional to 119,149,548 and 257,118,311 is: 554,847,474.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,149,548 : 257,118,311 = 257,118,311 : x
  2. Step 2: Convert to fraction form
    119,149,548/257,118,311 = 257,118,311/x
  3. Step 3: Cross multiply
    119,149,548x = 257,118,311 × 257,118,311
  4. Step 4: Simplify right side
    119,149,548x = 66,109,825,851,492,720
  5. Step 5: Solve for x
    x = 66,109,825,851,492,720/119,149,548
  6. Step 6: Final answer
    x = 554,847,474.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.