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Finding the Third Proportional to 85,550,772 and 184,737,840

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Solution

The third proportional to 85,550,772 and 184,737,840 is: 398,921,818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,550,772 : 184,737,840 = 184,737,840 : x
  2. Step 2: Convert to fraction form
    85,550,772/184,737,840 = 184,737,840/x
  3. Step 3: Cross multiply
    85,550,772x = 184,737,840 × 184,737,840
  4. Step 4: Simplify right side
    85,550,772x = 34,128,069,527,865,600
  5. Step 5: Solve for x
    x = 34,128,069,527,865,600/85,550,772
  6. Step 6: Final answer
    x = 398,921,818.35

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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.