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Finding the Third Proportional to 98,469,576 and 214,277,688

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Solution

The third proportional to 98,469,576 and 214,277,688 is: 466,285,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,469,576 : 214,277,688 = 214,277,688 : x
  2. Step 2: Convert to fraction form
    98,469,576/214,277,688 = 214,277,688/x
  3. Step 3: Cross multiply
    98,469,576x = 214,277,688 × 214,277,688
  4. Step 4: Simplify right side
    98,469,576x = 45,914,927,574,625,344
  5. Step 5: Solve for x
    x = 45,914,927,574,625,344/98,469,576
  6. Step 6: Final answer
    x = 466,285,419.72

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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.