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Finding the Third Proportional to 106,398,648 and 229,210,704

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Solution

The third proportional to 106,398,648 and 229,210,704 is: 493,780,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,398,648 : 229,210,704 = 229,210,704 : x
  2. Step 2: Convert to fraction form
    106,398,648/229,210,704 = 229,210,704/x
  3. Step 3: Cross multiply
    106,398,648x = 229,210,704 × 229,210,704
  4. Step 4: Simplify right side
    106,398,648x = 52,537,546,828,175,616
  5. Step 5: Solve for x
    x = 52,537,546,828,175,616/106,398,648
  6. Step 6: Final answer
    x = 493,780,210.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.