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Finding the Third Proportional to 98,689,581 and 213,853,824

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Solution

The third proportional to 98,689,581 and 213,853,824 is: 463,407,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,689,581 : 213,853,824 = 213,853,824 : x
  2. Step 2: Convert to fraction form
    98,689,581/213,853,824 = 213,853,824/x
  3. Step 3: Cross multiply
    98,689,581x = 213,853,824 × 213,853,824
  4. Step 4: Simplify right side
    98,689,581x = 45,733,458,039,422,976
  5. Step 5: Solve for x
    x = 45,733,458,039,422,976/98,689,581
  6. Step 6: Final answer
    x = 463,407,155.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.