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Finding the Third Proportional to 119,861,844 and 257,915,148

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Solution

The third proportional to 119,861,844 and 257,915,148 is: 554,974,138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,861,844 : 257,915,148 = 257,915,148 : x
  2. Step 2: Convert to fraction form
    119,861,844/257,915,148 = 257,915,148/x
  3. Step 3: Cross multiply
    119,861,844x = 257,915,148 × 257,915,148
  4. Step 4: Simplify right side
    119,861,844x = 66,520,223,567,861,904
  5. Step 5: Solve for x
    x = 66,520,223,567,861,904/119,861,844
  6. Step 6: Final answer
    x = 554,974,138.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.