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Finding the Third Proportional to 42,560,108,373 and 93,795,322,295

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Solution

The third proportional to 42,560,108,373 and 93,795,322,295 is: 206,709,118,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,560,108,373 : 93,795,322,295 = 93,795,322,295 : x
  2. Step 2: Convert to fraction form
    42,560,108,373/93,795,322,295 = 93,795,322,295/x
  3. Step 3: Cross multiply
    42,560,108,373x = 93,795,322,295 × 93,795,322,295
  4. Step 4: Simplify right side
    42,560,108,373x = 8,797,562,484,422,924,566,528
  5. Step 5: Solve for x
    x = 8,797,562,484,422,924,566,528/42,560,108,373
  6. Step 6: Final answer
    x = 206,709,118,485.33

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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.