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Finding the Third Proportional to 258,395,103 and 567,010,975.50

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Solution

The third proportional to 258,395,103 and 567,010,975.50 is: 1,244,224,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,395,103 : 567,010,975.50 = 567,010,975.50 : x
  2. Step 2: Convert to fraction form
    258,395,103/567,010,975.50 = 567,010,975.50/x
  3. Step 3: Cross multiply
    258,395,103x = 567,010,975.50 × 567,010,975.50
  4. Step 4: Simplify right side
    258,395,103x = 321,501,446,337,461,632
  5. Step 5: Solve for x
    x = 321,501,446,337,461,632/258,395,103
  6. Step 6: Final answer
    x = 1,244,224,223.31

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Why These Related Problems?

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