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Finding the Third Proportional to 233,947,873.50 and 506,906,440.50

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Solution

The third proportional to 233,947,873.50 and 506,906,440.50 is: 1,098,339,282.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,947,873.50 : 506,906,440.50 = 506,906,440.50 : x
  2. Step 2: Convert to fraction form
    233,947,873.50/506,906,440.50 = 506,906,440.50/x
  3. Step 3: Cross multiply
    233,947,873.50x = 506,906,440.50 × 506,906,440.50
  4. Step 4: Simplify right side
    233,947,873.50x = 256,954,139,420,380,032
  5. Step 5: Solve for x
    x = 256,954,139,420,380,032/233,947,873.50
  6. Step 6: Final answer
    x = 1,098,339,282.06

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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.