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Finding the Third Proportional to 119,149,536 and 257,118,288

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Solution

The third proportional to 119,149,536 and 257,118,288 is: 554,847,431.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,149,536 : 257,118,288 = 257,118,288 : x
  2. Step 2: Convert to fraction form
    119,149,536/257,118,288 = 257,118,288/x
  3. Step 3: Cross multiply
    119,149,536x = 257,118,288 × 257,118,288
  4. Step 4: Simplify right side
    119,149,536x = 66,109,814,024,050,944
  5. Step 5: Solve for x
    x = 66,109,814,024,050,944/119,149,536
  6. Step 6: Final answer
    x = 554,847,431.58

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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.