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Finding the Third Proportional to 84,912,977 and 185,197,602

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Solution

The third proportional to 84,912,977 and 185,197,602 is: 403,921,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,977 : 185,197,602 = 185,197,602 : x
  2. Step 2: Convert to fraction form
    84,912,977/185,197,602 = 185,197,602/x
  3. Step 3: Cross multiply
    84,912,977x = 185,197,602 × 185,197,602
  4. Step 4: Simplify right side
    84,912,977x = 34,298,151,786,550,404
  5. Step 5: Solve for x
    x = 34,298,151,786,550,404/84,912,977
  6. Step 6: Final answer
    x = 403,921,202.60

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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.