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Finding the Third Proportional to 164,929,203 and 325,695,330

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Solution

The third proportional to 164,929,203 and 325,695,330 is: 643,169,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,929,203 : 325,695,330 = 325,695,330 : x
  2. Step 2: Convert to fraction form
    164,929,203/325,695,330 = 325,695,330/x
  3. Step 3: Cross multiply
    164,929,203x = 325,695,330 × 325,695,330
  4. Step 4: Simplify right side
    164,929,203x = 106,077,447,983,808,896
  5. Step 5: Solve for x
    x = 106,077,447,983,808,896/164,929,203
  6. Step 6: Final answer
    x = 643,169,590.67

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.