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Finding the Third Proportional to 98,689,575 and 213,853,812

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Solution

The third proportional to 98,689,575 and 213,853,812 is: 463,407,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,689,575 : 213,853,812 = 213,853,812 : x
  2. Step 2: Convert to fraction form
    98,689,575/213,853,812 = 213,853,812/x
  3. Step 3: Cross multiply
    98,689,575x = 213,853,812 × 213,853,812
  4. Step 4: Simplify right side
    98,689,575x = 45,733,452,906,931,344
  5. Step 5: Solve for x
    x = 45,733,452,906,931,344/98,689,575
  6. Step 6: Final answer
    x = 463,407,131.98

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Why These Related Problems?

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