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Finding the Third Proportional to 114,847,938 and 176,529,591

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Solution

The third proportional to 114,847,938 and 176,529,591 is: 271,338,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,847,938 : 176,529,591 = 176,529,591 : x
  2. Step 2: Convert to fraction form
    114,847,938/176,529,591 = 176,529,591/x
  3. Step 3: Cross multiply
    114,847,938x = 176,529,591 × 176,529,591
  4. Step 4: Simplify right side
    114,847,938x = 31,162,696,498,627,280
  5. Step 5: Solve for x
    x = 31,162,696,498,627,280/114,847,938
  6. Step 6: Final answer
    x = 271,338,754.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.