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Finding the Third Proportional to 83,897,383 and 197,769,461

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Solution

The third proportional to 83,897,383 and 197,769,461 is: 466,197,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,897,383 : 197,769,461 = 197,769,461 : x
  2. Step 2: Convert to fraction form
    83,897,383/197,769,461 = 197,769,461/x
  3. Step 3: Cross multiply
    83,897,383x = 197,769,461 × 197,769,461
  4. Step 4: Simplify right side
    83,897,383x = 39,112,759,704,230,520
  5. Step 5: Solve for x
    x = 39,112,759,704,230,520/83,897,383
  6. Step 6: Final answer
    x = 466,197,613.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.