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Finding the Third Proportional to 255,206,017 and 559,816,418

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Solution

The third proportional to 255,206,017 and 559,816,418 is: 1,228,005,615.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,206,017 : 559,816,418 = 559,816,418 : x
  2. Step 2: Convert to fraction form
    255,206,017/559,816,418 = 559,816,418/x
  3. Step 3: Cross multiply
    255,206,017x = 559,816,418 × 559,816,418
  4. Step 4: Simplify right side
    255,206,017x = 313,394,421,862,350,720
  5. Step 5: Solve for x
    x = 313,394,421,862,350,720/255,206,017
  6. Step 6: Final answer
    x = 1,228,005,615.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.