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Finding the Third Proportional to 98,836,471 and 144,616,461

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Solution

The third proportional to 98,836,471 and 144,616,461 is: 211,601,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,836,471 : 144,616,461 = 144,616,461 : x
  2. Step 2: Convert to fraction form
    98,836,471/144,616,461 = 144,616,461/x
  3. Step 3: Cross multiply
    98,836,471x = 144,616,461 × 144,616,461
  4. Step 4: Simplify right side
    98,836,471x = 20,913,920,792,164,520
  5. Step 5: Solve for x
    x = 20,913,920,792,164,520/98,836,471
  6. Step 6: Final answer
    x = 211,601,249.83

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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.