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Finding the Third Proportional to 101,236,845.09 and 216,822,392.16

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Solution

The third proportional to 101,236,845.09 and 216,822,392.16 is: 464,375,887.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,236,845.09 : 216,822,392.16 = 216,822,392.16 : x
  2. Step 2: Convert to fraction form
    101,236,845.09/216,822,392.16 = 216,822,392.16/x
  3. Step 3: Cross multiply
    101,236,845.09x = 216,822,392.16 × 216,822,392.16
  4. Step 4: Simplify right side
    101,236,845.09x = 47,011,949,740,354,320
  5. Step 5: Solve for x
    x = 47,011,949,740,354,320/101,236,845.09
  6. Step 6: Final answer
    x = 464,375,887.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.