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Finding the Third Proportional to 85,890,658 and 185,397,641

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Solution

The third proportional to 85,890,658 and 185,397,641 is: 400,186,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,890,658 : 185,397,641 = 185,397,641 : x
  2. Step 2: Convert to fraction form
    85,890,658/185,397,641 = 185,397,641/x
  3. Step 3: Cross multiply
    85,890,658x = 185,397,641 × 185,397,641
  4. Step 4: Simplify right side
    85,890,658x = 34,372,285,288,364,880
  5. Step 5: Solve for x
    x = 34,372,285,288,364,880/85,890,658
  6. Step 6: Final answer
    x = 400,186,540.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.