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Finding the Third Proportional to 98,467,650 and 215,466,372

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Solution

The third proportional to 98,467,650 and 215,466,372 is: 471,482,334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,467,650 : 215,466,372 = 215,466,372 : x
  2. Step 2: Convert to fraction form
    98,467,650/215,466,372 = 215,466,372/x
  3. Step 3: Cross multiply
    98,467,650x = 215,466,372 × 215,466,372
  4. Step 4: Simplify right side
    98,467,650x = 46,425,757,462,842,384
  5. Step 5: Solve for x
    x = 46,425,757,462,842,384/98,467,650
  6. Step 6: Final answer
    x = 471,482,334.18

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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.