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Finding the Third Proportional to 109,466,970 and 236,289,972

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Solution

The third proportional to 109,466,970 and 236,289,972 is: 510,043,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,466,970 : 236,289,972 = 236,289,972 : x
  2. Step 2: Convert to fraction form
    109,466,970/236,289,972 = 236,289,972/x
  3. Step 3: Cross multiply
    109,466,970x = 236,289,972 × 236,289,972
  4. Step 4: Simplify right side
    109,466,970x = 55,832,950,867,760,784
  5. Step 5: Solve for x
    x = 55,832,950,867,760,784/109,466,970
  6. Step 6: Final answer
    x = 510,043,813.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.