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Finding the Third Proportional to 95,962,177,852 and 211,116,455,630

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Solution

The third proportional to 95,962,177,852 and 211,116,455,630 is: 464,455,463,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,962,177,852 : 211,116,455,630 = 211,116,455,630 : x
  2. Step 2: Convert to fraction form
    95,962,177,852/211,116,455,630 = 211,116,455,630/x
  3. Step 3: Cross multiply
    95,962,177,852x = 211,116,455,630 × 211,116,455,630
  4. Step 4: Simplify right side
    95,962,177,852x = 44,570,157,837,773,755,645,952
  5. Step 5: Solve for x
    x = 44,570,157,837,773,755,645,952/95,962,177,852
  6. Step 6: Final answer
    x = 464,455,463,969.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.