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Finding the Third Proportional to 212,364,838.97 and 500,602,969.41

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Solution

The third proportional to 212,364,838.97 and 500,602,969.41 is: 1,180,060,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,364,838.97 : 500,602,969.41 = 500,602,969.41 : x
  2. Step 2: Convert to fraction form
    212,364,838.97/500,602,969.41 = 500,602,969.41/x
  3. Step 3: Cross multiply
    212,364,838.97x = 500,602,969.41 × 500,602,969.41
  4. Step 4: Simplify right side
    212,364,838.97x = 250,603,332,978,354,880
  5. Step 5: Solve for x
    x = 250,603,332,978,354,880/212,364,838.97
  6. Step 6: Final answer
    x = 1,180,060,381.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.