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Finding the Third Proportional to 153,698,976 and 329,364,180

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Solution

The third proportional to 153,698,976 and 329,364,180 is: 705,800,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,698,976 : 329,364,180 = 329,364,180 : x
  2. Step 2: Convert to fraction form
    153,698,976/329,364,180 = 329,364,180/x
  3. Step 3: Cross multiply
    153,698,976x = 329,364,180 × 329,364,180
  4. Step 4: Simplify right side
    153,698,976x = 108,480,763,067,072,400
  5. Step 5: Solve for x
    x = 108,480,763,067,072,400/153,698,976
  6. Step 6: Final answer
    x = 705,800,167.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.