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Finding the Third Proportional to 84,912,981 and 185,197,610

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Solution

The third proportional to 84,912,981 and 185,197,610 is: 403,921,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,981 : 185,197,610 = 185,197,610 : x
  2. Step 2: Convert to fraction form
    84,912,981/185,197,610 = 185,197,610/x
  3. Step 3: Cross multiply
    84,912,981x = 185,197,610 × 185,197,610
  4. Step 4: Simplify right side
    84,912,981x = 34,298,154,749,712,100
  5. Step 5: Solve for x
    x = 34,298,154,749,712,100/84,912,981
  6. Step 6: Final answer
    x = 403,921,218.47

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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.