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Finding the Third Proportional to 105,927,304.50 and 224,455,374

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Solution

The third proportional to 105,927,304.50 and 224,455,374 is: 475,611,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,927,304.50 : 224,455,374 = 224,455,374 : x
  2. Step 2: Convert to fraction form
    105,927,304.50/224,455,374 = 224,455,374/x
  3. Step 3: Cross multiply
    105,927,304.50x = 224,455,374 × 224,455,374
  4. Step 4: Simplify right side
    105,927,304.50x = 50,380,214,917,479,872
  5. Step 5: Solve for x
    x = 50,380,214,917,479,872/105,927,304.50
  6. Step 6: Final answer
    x = 475,611,223.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.