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Finding the Third Proportional to 97,014,133,481 and 211,111,253,334

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Solution

The third proportional to 97,014,133,481 and 211,111,253,334 is: 459,396,581,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,014,133,481 : 211,111,253,334 = 211,111,253,334 : x
  2. Step 2: Convert to fraction form
    97,014,133,481/211,111,253,334 = 211,111,253,334/x
  3. Step 3: Cross multiply
    97,014,133,481x = 211,111,253,334 × 211,111,253,334
  4. Step 4: Simplify right side
    97,014,133,481x = 44,567,961,284,252,325,117,952
  5. Step 5: Solve for x
    x = 44,567,961,284,252,325,117,952/97,014,133,481
  6. Step 6: Final answer
    x = 459,396,581,560.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.