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Finding the Third Proportional to 98,836,473 and 144,616,464

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Solution

The third proportional to 98,836,473 and 144,616,464 is: 211,601,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,836,473 : 144,616,464 = 144,616,464 : x
  2. Step 2: Convert to fraction form
    98,836,473/144,616,464 = 144,616,464/x
  3. Step 3: Cross multiply
    98,836,473x = 144,616,464 × 144,616,464
  4. Step 4: Simplify right side
    98,836,473x = 20,913,921,659,863,296
  5. Step 5: Solve for x
    x = 20,913,921,659,863,296/98,836,473
  6. Step 6: Final answer
    x = 211,601,254.33

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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.