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Finding the Third Proportional to 153,414,828 and 329,597,208

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Solution

The third proportional to 153,414,828 and 329,597,208 is: 708,108,342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,414,828 : 329,597,208 = 329,597,208 : x
  2. Step 2: Convert to fraction form
    153,414,828/329,597,208 = 329,597,208/x
  3. Step 3: Cross multiply
    153,414,828x = 329,597,208 × 329,597,208
  4. Step 4: Simplify right side
    153,414,828x = 108,634,319,521,395,264
  5. Step 5: Solve for x
    x = 108,634,319,521,395,264/153,414,828
  6. Step 6: Final answer
    x = 708,108,342.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.