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Finding the Third Proportional to 229,292,825,037 and 341,950,836,471

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Solution

The third proportional to 229,292,825,037 and 341,950,836,471 is: 509,960,896,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,292,825,037 : 341,950,836,471 = 341,950,836,471 : x
  2. Step 2: Convert to fraction form
    229,292,825,037/341,950,836,471 = 341,950,836,471/x
  3. Step 3: Cross multiply
    229,292,825,037x = 341,950,836,471 × 341,950,836,471
  4. Step 4: Simplify right side
    229,292,825,037x = 116,930,374,563,216,580,673,536
  5. Step 5: Solve for x
    x = 116,930,374,563,216,580,673,536/229,292,825,037
  6. Step 6: Final answer
    x = 509,960,896,265.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.