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Finding the Third Proportional to 212,968,966.50 and 327,146,408.30

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Solution

The third proportional to 212,968,966.50 and 327,146,408.30 is: 502,536,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,968,966.50 : 327,146,408.30 = 327,146,408.30 : x
  2. Step 2: Convert to fraction form
    212,968,966.50/327,146,408.30 = 327,146,408.30/x
  3. Step 3: Cross multiply
    212,968,966.50x = 327,146,408.30 × 327,146,408.30
  4. Step 4: Simplify right side
    212,968,966.50x = 107,024,772,461,548,912
  5. Step 5: Solve for x
    x = 107,024,772,461,548,912/212,968,966.50
  6. Step 6: Final answer
    x = 502,536,938.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.