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Finding the Third Proportional to 85,056,093 and 185,506,762

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Solution

The third proportional to 85,056,093 and 185,506,762 is: 404,588,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,056,093 : 185,506,762 = 185,506,762 : x
  2. Step 2: Convert to fraction form
    85,056,093/185,506,762 = 185,506,762/x
  3. Step 3: Cross multiply
    85,056,093x = 185,506,762 × 185,506,762
  4. Step 4: Simplify right side
    85,056,093x = 34,412,758,747,724,644
  5. Step 5: Solve for x
    x = 34,412,758,747,724,644/85,056,093
  6. Step 6: Final answer
    x = 404,588,989.85

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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.