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Finding the Third Proportional to 123,086,850.75 and 194,904,802.13

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Solution

The third proportional to 123,086,850.75 and 194,904,802.13 is: 308,626,645.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,086,850.75 : 194,904,802.13 = 194,904,802.13 : x
  2. Step 2: Convert to fraction form
    123,086,850.75/194,904,802.13 = 194,904,802.13/x
  3. Step 3: Cross multiply
    123,086,850.75x = 194,904,802.13 × 194,904,802.13
  4. Step 4: Simplify right side
    123,086,850.75x = 37,987,881,891,385,408
  5. Step 5: Solve for x
    x = 37,987,881,891,385,408/123,086,850.75
  6. Step 6: Final answer
    x = 308,626,645.82

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.