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Finding the Third Proportional to 233,945,826.75 and 506,902,569.75

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Solution

The third proportional to 233,945,826.75 and 506,902,569.75 is: 1,098,332,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,945,826.75 : 506,902,569.75 = 506,902,569.75 : x
  2. Step 2: Convert to fraction form
    233,945,826.75/506,902,569.75 = 506,902,569.75/x
  3. Step 3: Cross multiply
    233,945,826.75x = 506,902,569.75 × 506,902,569.75
  4. Step 4: Simplify right side
    233,945,826.75x = 256,950,215,219,153,600
  5. Step 5: Solve for x
    x = 256,950,215,219,153,600/233,945,826.75
  6. Step 6: Final answer
    x = 1,098,332,117.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.