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Finding the Third Proportional to 46,072,575 and 100,823,166

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Solution

The third proportional to 46,072,575 and 100,823,166 is: 220,636,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,072,575 : 100,823,166 = 100,823,166 : x
  2. Step 2: Convert to fraction form
    46,072,575/100,823,166 = 100,823,166/x
  3. Step 3: Cross multiply
    46,072,575x = 100,823,166 × 100,823,166
  4. Step 4: Simplify right side
    46,072,575x = 10,165,310,802,263,556
  5. Step 5: Solve for x
    x = 10,165,310,802,263,556/46,072,575
  6. Step 6: Final answer
    x = 220,636,914.74

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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.