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Finding the Third Proportional to 153,699,104 and 329,364,416

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Solution

The third proportional to 153,699,104 and 329,364,416 is: 705,800,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,699,104 : 329,364,416 = 329,364,416 : x
  2. Step 2: Convert to fraction form
    153,699,104/329,364,416 = 329,364,416/x
  3. Step 3: Cross multiply
    153,699,104x = 329,364,416 × 329,364,416
  4. Step 4: Simplify right side
    153,699,104x = 108,480,918,527,021,056
  5. Step 5: Solve for x
    x = 108,480,918,527,021,056/153,699,104
  6. Step 6: Final answer
    x = 705,800,591.57

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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.