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Finding the Third Proportional to 84,912,983 and 185,197,614

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Solution

The third proportional to 84,912,983 and 185,197,614 is: 403,921,226.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912,983 : 185,197,614 = 185,197,614 : x
  2. Step 2: Convert to fraction form
    84,912,983/185,197,614 = 185,197,614/x
  3. Step 3: Cross multiply
    84,912,983x = 185,197,614 × 185,197,614
  4. Step 4: Simplify right side
    84,912,983x = 34,298,156,231,292,996
  5. Step 5: Solve for x
    x = 34,298,156,231,292,996/84,912,983
  6. Step 6: Final answer
    x = 403,921,226.41

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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.