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Finding the Third Proportional to 46,486,605.94 and 101,343,419.44

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Solution

The third proportional to 46,486,605.94 and 101,343,419.44 is: 220,934,362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,486,605.94 : 101,343,419.44 = 101,343,419.44 : x
  2. Step 2: Convert to fraction form
    46,486,605.94/101,343,419.44 = 101,343,419.44/x
  3. Step 3: Cross multiply
    46,486,605.94x = 101,343,419.44 × 101,343,419.44
  4. Step 4: Simplify right side
    46,486,605.94x = 10,270,488,663,285,052
  5. Step 5: Solve for x
    x = 10,270,488,663,285,052/46,486,605.94
  6. Step 6: Final answer
    x = 220,934,362.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.