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Finding the Third Proportional to 101,819,915,948 and 206,543,100,640

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Solution

The third proportional to 101,819,915,948 and 206,543,100,640 is: 418,975,521,878.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,819,915,948 : 206,543,100,640 = 206,543,100,640 : x
  2. Step 2: Convert to fraction form
    101,819,915,948/206,543,100,640 = 206,543,100,640/x
  3. Step 3: Cross multiply
    101,819,915,948x = 206,543,100,640 × 206,543,100,640
  4. Step 4: Simplify right side
    101,819,915,948x = 42,660,052,421,985,169,309,696
  5. Step 5: Solve for x
    x = 42,660,052,421,985,169,309,696/101,819,915,948
  6. Step 6: Final answer
    x = 418,975,521,878.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.