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Finding the Third Proportional to 119,085,907.69 and 257,960,207.94

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Solution

The third proportional to 119,085,907.69 and 257,960,207.94 is: 558,785,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,085,907.69 : 257,960,207.94 = 257,960,207.94 : x
  2. Step 2: Convert to fraction form
    119,085,907.69/257,960,207.94 = 257,960,207.94/x
  3. Step 3: Cross multiply
    119,085,907.69x = 257,960,207.94 × 257,960,207.94
  4. Step 4: Simplify right side
    119,085,907.69x = 66,543,468,879,158,240
  5. Step 5: Solve for x
    x = 66,543,468,879,158,240/119,085,907.69
  6. Step 6: Final answer
    x = 558,785,419.46

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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.