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Finding the Third Proportional to 212,605,074 and 304,025,076

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Solution

The third proportional to 212,605,074 and 304,025,076 is: 434,755,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,605,074 : 304,025,076 = 304,025,076 : x
  2. Step 2: Convert to fraction form
    212,605,074/304,025,076 = 304,025,076/x
  3. Step 3: Cross multiply
    212,605,074x = 304,025,076 × 304,025,076
  4. Step 4: Simplify right side
    212,605,074x = 92,431,246,836,805,776
  5. Step 5: Solve for x
    x = 92,431,246,836,805,776/212,605,074
  6. Step 6: Final answer
    x = 434,755,601.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.