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Finding the Third Proportional to 119,085,913 and 257,960,218

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Solution

The third proportional to 119,085,913 and 257,960,218 is: 558,785,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,085,913 : 257,960,218 = 257,960,218 : x
  2. Step 2: Convert to fraction form
    119,085,913/257,960,218 = 257,960,218/x
  3. Step 3: Cross multiply
    119,085,913x = 257,960,218 × 257,960,218
  4. Step 4: Simplify right side
    119,085,913x = 66,543,474,070,607,520
  5. Step 5: Solve for x
    x = 66,543,474,070,607,520/119,085,913
  6. Step 6: Final answer
    x = 558,785,438.13

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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.