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Finding the Third Proportional to 165,013,615.50 and 349,697,838

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Solution

The third proportional to 165,013,615.50 and 349,697,838 is: 741,081,743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013,615.50 : 349,697,838 = 349,697,838 : x
  2. Step 2: Convert to fraction form
    165,013,615.50/349,697,838 = 349,697,838/x
  3. Step 3: Cross multiply
    165,013,615.50x = 349,697,838 × 349,697,838
  4. Step 4: Simplify right side
    165,013,615.50x = 122,288,577,901,874,240
  5. Step 5: Solve for x
    x = 122,288,577,901,874,240/165,013,615.50
  6. Step 6: Final answer
    x = 741,081,743.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.