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Finding the Third Proportional to 84,912,972 and 185,197,592

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Solution

The third proportional to 84,912,972 and 185,197,592 is: 403,921,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,972 : 185,197,592 = 185,197,592 : x
  2. Step 2: Convert to fraction form
    84,912,972/185,197,592 = 185,197,592/x
  3. Step 3: Cross multiply
    84,912,972x = 185,197,592 × 185,197,592
  4. Step 4: Simplify right side
    84,912,972x = 34,298,148,082,598,464
  5. Step 5: Solve for x
    x = 34,298,148,082,598,464/84,912,972
  6. Step 6: Final answer
    x = 403,921,182.77

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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.