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Finding the Third Proportional to 46,694,967 and 102,186,399

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Solution

The third proportional to 46,694,967 and 102,186,399 is: 223,622,818.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,694,967 : 102,186,399 = 102,186,399 : x
  2. Step 2: Convert to fraction form
    46,694,967/102,186,399 = 102,186,399/x
  3. Step 3: Cross multiply
    46,694,967x = 102,186,399 × 102,186,399
  4. Step 4: Simplify right side
    46,694,967x = 10,442,060,140,587,200
  5. Step 5: Solve for x
    x = 10,442,060,140,587,200/46,694,967
  6. Step 6: Final answer
    x = 223,622,818.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.