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Finding the Third Proportional to 119,149,538 and 257,118,292

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Solution

The third proportional to 119,149,538 and 257,118,292 is: 554,847,439.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,149,538 : 257,118,292 = 257,118,292 : x
  2. Step 2: Convert to fraction form
    119,149,538/257,118,292 = 257,118,292/x
  3. Step 3: Cross multiply
    119,149,538x = 257,118,292 × 257,118,292
  4. Step 4: Simplify right side
    119,149,538x = 66,109,816,080,997,264
  5. Step 5: Solve for x
    x = 66,109,816,080,997,264/119,149,538
  6. Step 6: Final answer
    x = 554,847,439.53

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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.