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Finding the Third Proportional to 81,701,729 and 176,314,816

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Solution

The third proportional to 81,701,729 and 176,314,816 is: 380,492,735.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,701,729 : 176,314,816 = 176,314,816 : x
  2. Step 2: Convert to fraction form
    81,701,729/176,314,816 = 176,314,816/x
  3. Step 3: Cross multiply
    81,701,729x = 176,314,816 × 176,314,816
  4. Step 4: Simplify right side
    81,701,729x = 31,086,914,341,113,856
  5. Step 5: Solve for x
    x = 31,086,914,341,113,856/81,701,729
  6. Step 6: Final answer
    x = 380,492,735.24

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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.