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Finding the Third Proportional to 137,037,577 and 224,962,285

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Solution

The third proportional to 137,037,577 and 224,962,285 is: 369,300,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,037,577 : 224,962,285 = 224,962,285 : x
  2. Step 2: Convert to fraction form
    137,037,577/224,962,285 = 224,962,285/x
  3. Step 3: Cross multiply
    137,037,577x = 224,962,285 × 224,962,285
  4. Step 4: Simplify right side
    137,037,577x = 50,608,029,672,421,224
  5. Step 5: Solve for x
    x = 50,608,029,672,421,224/137,037,577
  6. Step 6: Final answer
    x = 369,300,383.01

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.