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Finding the Third Proportional to 96,685,436,202 and 208,064,157,546

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Solution

The third proportional to 96,685,436,202 and 208,064,157,546 is: 447,747,823,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,685,436,202 : 208,064,157,546 = 208,064,157,546 : x
  2. Step 2: Convert to fraction form
    96,685,436,202/208,064,157,546 = 208,064,157,546/x
  3. Step 3: Cross multiply
    96,685,436,202x = 208,064,157,546 × 208,064,157,546
  4. Step 4: Simplify right side
    96,685,436,202x = 43,290,693,655,326,705,582,080
  5. Step 5: Solve for x
    x = 43,290,693,655,326,705,582,080/96,685,436,202
  6. Step 6: Final answer
    x = 447,747,823,828.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.