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Finding the Third Proportional to 166,650,784 and 362,638,840

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Solution

The third proportional to 166,650,784 and 362,638,840 is: 789,116,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,650,784 : 362,638,840 = 362,638,840 : x
  2. Step 2: Convert to fraction form
    166,650,784/362,638,840 = 362,638,840/x
  3. Step 3: Cross multiply
    166,650,784x = 362,638,840 × 362,638,840
  4. Step 4: Simplify right side
    166,650,784x = 131,506,928,276,545,600
  5. Step 5: Solve for x
    x = 131,506,928,276,545,600/166,650,784
  6. Step 6: Final answer
    x = 789,116,769.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.