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Finding the Third Proportional to 98,219,484 and 213,876,877.50

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Solution

The third proportional to 98,219,484 and 213,876,877.50 is: 465,725,504.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,219,484 : 213,876,877.50 = 213,876,877.50 : x
  2. Step 2: Convert to fraction form
    98,219,484/213,876,877.50 = 213,876,877.50/x
  3. Step 3: Cross multiply
    98,219,484x = 213,876,877.50 × 213,876,877.50
  4. Step 4: Simplify right side
    98,219,484x = 45,743,318,729,150,008
  5. Step 5: Solve for x
    x = 45,743,318,729,150,008/98,219,484
  6. Step 6: Final answer
    x = 465,725,504.41

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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.