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Finding the Third Proportional to 84,287,982 and 183,890,706

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Solution

The third proportional to 84,287,982 and 183,890,706 is: 401,193,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,287,982 : 183,890,706 = 183,890,706 : x
  2. Step 2: Convert to fraction form
    84,287,982/183,890,706 = 183,890,706/x
  3. Step 3: Cross multiply
    84,287,982x = 183,890,706 × 183,890,706
  4. Step 4: Simplify right side
    84,287,982x = 33,815,791,753,178,436
  5. Step 5: Solve for x
    x = 33,815,791,753,178,436/84,287,982
  6. Step 6: Final answer
    x = 401,193,514.79

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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.