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Finding the Third Proportional to 105,927,315 and 224,455,395

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Solution

The third proportional to 105,927,315 and 224,455,395 is: 475,611,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,927,315 : 224,455,395 = 224,455,395 : x
  2. Step 2: Convert to fraction form
    105,927,315/224,455,395 = 224,455,395/x
  3. Step 3: Cross multiply
    105,927,315x = 224,455,395 × 224,455,395
  4. Step 4: Simplify right side
    105,927,315x = 50,380,224,344,606,024
  5. Step 5: Solve for x
    x = 50,380,224,344,606,024/105,927,315
  6. Step 6: Final answer
    x = 475,611,265.56

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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.