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Finding the Third Proportional to 212,968,712.11 and 327,146,017.22

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Solution

The third proportional to 212,968,712.11 and 327,146,017.22 is: 502,536,337.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,968,712.11 : 327,146,017.22 = 327,146,017.22 : x
  2. Step 2: Convert to fraction form
    212,968,712.11/327,146,017.22 = 327,146,017.22/x
  3. Step 3: Cross multiply
    212,968,712.11x = 327,146,017.22 × 327,146,017.22
  4. Step 4: Simplify right side
    212,968,712.11x = 107,024,516,582,090,672
  5. Step 5: Solve for x
    x = 107,024,516,582,090,672/212,968,712.11
  6. Step 6: Final answer
    x = 502,536,337.48

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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.