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Finding the Third Proportional to 165,013,756.50 and 349,698,120

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Solution

The third proportional to 165,013,756.50 and 349,698,120 is: 741,082,305.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013,756.50 : 349,698,120 = 349,698,120 : x
  2. Step 2: Convert to fraction form
    165,013,756.50/349,698,120 = 349,698,120/x
  3. Step 3: Cross multiply
    165,013,756.50x = 349,698,120 × 349,698,120
  4. Step 4: Simplify right side
    165,013,756.50x = 122,288,775,131,534,400
  5. Step 5: Solve for x
    x = 122,288,775,131,534,400/165,013,756.50
  6. Step 6: Final answer
    x = 741,082,305.65

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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.