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Finding the Third Proportional to 98,836,464 and 144,616,452

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Solution

The third proportional to 98,836,464 and 144,616,452 is: 211,601,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,836,464 : 144,616,452 = 144,616,452 : x
  2. Step 2: Convert to fraction form
    98,836,464/144,616,452 = 144,616,452/x
  3. Step 3: Cross multiply
    98,836,464x = 144,616,452 × 144,616,452
  4. Step 4: Simplify right side
    98,836,464x = 20,913,918,189,068,304
  5. Step 5: Solve for x
    x = 20,913,918,189,068,304/98,836,464
  6. Step 6: Final answer
    x = 211,601,238.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.