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Finding the Third Proportional to 233,231,298.75 and 539,944,746.75

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Solution

The third proportional to 233,231,298.75 and 539,944,746.75 is: 1,250,005,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,231,298.75 : 539,944,746.75 = 539,944,746.75 : x
  2. Step 2: Convert to fraction form
    233,231,298.75/539,944,746.75 = 539,944,746.75/x
  3. Step 3: Cross multiply
    233,231,298.75x = 539,944,746.75 × 539,944,746.75
  4. Step 4: Simplify right side
    233,231,298.75x = 291,540,329,542,921,664
  5. Step 5: Solve for x
    x = 291,540,329,542,921,664/233,231,298.75
  6. Step 6: Final answer
    x = 1,250,005,171.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.