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Finding the Third Proportional to 98,467,638 and 215,466,348

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Solution

The third proportional to 98,467,638 and 215,466,348 is: 471,482,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,467,638 : 215,466,348 = 215,466,348 : x
  2. Step 2: Convert to fraction form
    98,467,638/215,466,348 = 215,466,348/x
  3. Step 3: Cross multiply
    98,467,638x = 215,466,348 × 215,466,348
  4. Step 4: Simplify right side
    98,467,638x = 46,425,747,120,457,104
  5. Step 5: Solve for x
    x = 46,425,747,120,457,104/98,467,638
  6. Step 6: Final answer
    x = 471,482,286.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.