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Finding the Third Proportional to 153,699,108 and 329,364,424

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Solution

The third proportional to 153,699,108 and 329,364,424 is: 705,800,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,699,108 : 329,364,424 = 329,364,424 : x
  2. Step 2: Convert to fraction form
    153,699,108/329,364,424 = 329,364,424/x
  3. Step 3: Cross multiply
    153,699,108x = 329,364,424 × 329,364,424
  4. Step 4: Simplify right side
    153,699,108x = 108,480,923,796,851,776
  5. Step 5: Solve for x
    x = 108,480,923,796,851,776/153,699,108
  6. Step 6: Final answer
    x = 705,800,607.49

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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.