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Finding the Third Proportional to 85,890,672 and 185,397,664

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Solution

The third proportional to 85,890,672 and 185,397,664 is: 400,186,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,890,672 : 185,397,664 = 185,397,664 : x
  2. Step 2: Convert to fraction form
    85,890,672/185,397,664 = 185,397,664/x
  3. Step 3: Cross multiply
    85,890,672x = 185,397,664 × 185,397,664
  4. Step 4: Simplify right side
    85,890,672x = 34,372,293,816,656,896
  5. Step 5: Solve for x
    x = 34,372,293,816,656,896/85,890,672
  6. Step 6: Final answer
    x = 400,186,574.59

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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.