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Finding the Third Proportional to 218,709,992 and 307,642,692

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Solution

The third proportional to 218,709,992 and 307,642,692 is: 432,737,549.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,709,992 : 307,642,692 = 307,642,692 : x
  2. Step 2: Convert to fraction form
    218,709,992/307,642,692 = 307,642,692/x
  3. Step 3: Cross multiply
    218,709,992x = 307,642,692 × 307,642,692
  4. Step 4: Simplify right side
    218,709,992x = 94,644,025,941,006,864
  5. Step 5: Solve for x
    x = 94,644,025,941,006,864/218,709,992
  6. Step 6: Final answer
    x = 432,737,549.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.