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Finding the Third Proportional to 84,287,929 and 183,890,609

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Solution

The third proportional to 84,287,929 and 183,890,609 is: 401,193,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,287,929 : 183,890,609 = 183,890,609 : x
  2. Step 2: Convert to fraction form
    84,287,929/183,890,609 = 183,890,609/x
  3. Step 3: Cross multiply
    84,287,929x = 183,890,609 × 183,890,609
  4. Step 4: Simplify right side
    84,287,929x = 33,815,756,078,390,880
  5. Step 5: Solve for x
    x = 33,815,756,078,390,880/84,287,929
  6. Step 6: Final answer
    x = 401,193,343.81

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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.