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Finding the Third Proportional to 258,779,535.75 and 557,018,583.75

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Solution

The third proportional to 258,779,535.75 and 557,018,583.75 is: 1,198,973,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,779,535.75 : 557,018,583.75 = 557,018,583.75 : x
  2. Step 2: Convert to fraction form
    258,779,535.75/557,018,583.75 = 557,018,583.75/x
  3. Step 3: Cross multiply
    258,779,535.75x = 557,018,583.75 × 557,018,583.75
  4. Step 4: Simplify right side
    258,779,535.75x = 310,269,702,642,855,744
  5. Step 5: Solve for x
    x = 310,269,702,642,855,744/258,779,535.75
  6. Step 6: Final answer
    x = 1,198,973,101.73

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Why These Related Problems?

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