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Finding the Third Proportional to 46,976,040 and 103,189,968

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Solution

The third proportional to 46,976,040 and 103,189,968 is: 226,672,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,976,040 : 103,189,968 = 103,189,968 : x
  2. Step 2: Convert to fraction form
    46,976,040/103,189,968 = 103,189,968/x
  3. Step 3: Cross multiply
    46,976,040x = 103,189,968 × 103,189,968
  4. Step 4: Simplify right side
    46,976,040x = 10,648,169,495,841,024
  5. Step 5: Solve for x
    x = 10,648,169,495,841,024/46,976,040
  6. Step 6: Final answer
    x = 226,672,352.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.