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Finding the Third Proportional to 65,963,384 and 102,714,204

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Solution

The third proportional to 65,963,384 and 102,714,204 is: 159,940,364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,963,384 : 102,714,204 = 102,714,204 : x
  2. Step 2: Convert to fraction form
    65,963,384/102,714,204 = 102,714,204/x
  3. Step 3: Cross multiply
    65,963,384x = 102,714,204 × 102,714,204
  4. Step 4: Simplify right side
    65,963,384x = 10,550,207,703,353,616
  5. Step 5: Solve for x
    x = 10,550,207,703,353,616/65,963,384
  6. Step 6: Final answer
    x = 159,940,364.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.