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Finding the Third Proportional to 165,013,803 and 349,698,210.75

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Solution

The third proportional to 165,013,803 and 349,698,210.75 is: 741,082,481.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,013,803 : 349,698,210.75 = 349,698,210.75 : x
  2. Step 2: Convert to fraction form
    165,013,803/349,698,210.75 = 349,698,210.75/x
  3. Step 3: Cross multiply
    165,013,803x = 349,698,210.75 × 349,698,210.75
  4. Step 4: Simplify right side
    165,013,803x = 122,288,838,601,751,408
  5. Step 5: Solve for x
    x = 122,288,838,601,751,408/165,013,803
  6. Step 6: Final answer
    x = 741,082,481.46

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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.