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Finding the Third Proportional to 176,066,734 and 386,145,692

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Solution

The third proportional to 176,066,734 and 386,145,692 is: 846,886,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,066,734 : 386,145,692 = 386,145,692 : x
  2. Step 2: Convert to fraction form
    176,066,734/386,145,692 = 386,145,692/x
  3. Step 3: Cross multiply
    176,066,734x = 386,145,692 × 386,145,692
  4. Step 4: Simplify right side
    176,066,734x = 149,108,495,450,158,848
  5. Step 5: Solve for x
    x = 149,108,495,450,158,848/176,066,734
  6. Step 6: Final answer
    x = 846,886,246.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.