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Finding the Third Proportional to 42,741,720.38 and 100,796,851.69

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Solution

The third proportional to 42,741,720.38 and 100,796,851.69 is: 237,706,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,741,720.38 : 100,796,851.69 = 100,796,851.69 : x
  2. Step 2: Convert to fraction form
    42,741,720.38/100,796,851.69 = 100,796,851.69/x
  3. Step 3: Cross multiply
    42,741,720.38x = 100,796,851.69 × 100,796,851.69
  4. Step 4: Simplify right side
    42,741,720.38x = 10,160,005,310,111,872
  5. Step 5: Solve for x
    x = 10,160,005,310,111,872/42,741,720.38
  6. Step 6: Final answer
    x = 237,706,980.93

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.