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Finding the Third Proportional to 101,381,308,627.50 and 211,105,873,174.50

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Solution

The third proportional to 101,381,308,627.50 and 211,105,873,174.50 is: 439,584,873,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,381,308,627.50 : 211,105,873,174.50 = 211,105,873,174.50 : x
  2. Step 2: Convert to fraction form
    101,381,308,627.50/211,105,873,174.50 = 211,105,873,174.50/x
  3. Step 3: Cross multiply
    101,381,308,627.50x = 211,105,873,174.50 × 211,105,873,174.50
  4. Step 4: Simplify right side
    101,381,308,627.50x = 44,565,689,688,768,076,840,960
  5. Step 5: Solve for x
    x = 44,565,689,688,768,076,840,960/101,381,308,627.50
  6. Step 6: Final answer
    x = 439,584,873,110.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.