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Finding the Third Proportional to 212,259,136 and 450,026,624

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Solution

The third proportional to 212,259,136 and 450,026,624 is: 954,135,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,259,136 : 450,026,624 = 450,026,624 : x
  2. Step 2: Convert to fraction form
    212,259,136/450,026,624 = 450,026,624/x
  3. Step 3: Cross multiply
    212,259,136x = 450,026,624 × 450,026,624
  4. Step 4: Simplify right side
    212,259,136x = 202,523,962,308,837,376
  5. Step 5: Solve for x
    x = 202,523,962,308,837,376/212,259,136
  6. Step 6: Final answer
    x = 954,135,431.46

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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.