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Finding the Third Proportional to 256,103,855 and 551,050,569

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Solution

The third proportional to 256,103,855 and 551,050,569 is: 1,185,678,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,103,855 : 551,050,569 = 551,050,569 : x
  2. Step 2: Convert to fraction form
    256,103,855/551,050,569 = 551,050,569/x
  3. Step 3: Cross multiply
    256,103,855x = 551,050,569 × 551,050,569
  4. Step 4: Simplify right side
    256,103,855x = 303,656,729,595,223,744
  5. Step 5: Solve for x
    x = 303,656,729,595,223,744/256,103,855
  6. Step 6: Final answer
    x = 1,185,678,089.83

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