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Finding the Third Proportional to 81,701,730 and 176,314,818

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Solution

The third proportional to 81,701,730 and 176,314,818 is: 380,492,739.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,701,730 : 176,314,818 = 176,314,818 : x
  2. Step 2: Convert to fraction form
    81,701,730/176,314,818 = 176,314,818/x
  3. Step 3: Cross multiply
    81,701,730x = 176,314,818 × 176,314,818
  4. Step 4: Simplify right side
    81,701,730x = 31,086,915,046,373,124
  5. Step 5: Solve for x
    x = 31,086,915,046,373,124/81,701,730
  6. Step 6: Final answer
    x = 380,492,739.22

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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.