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Finding the Third Proportional to 46,976,240 and 103,190,320

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Solution

The third proportional to 46,976,240 and 103,190,320 is: 226,672,933.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,976,240 : 103,190,320 = 103,190,320 : x
  2. Step 2: Convert to fraction form
    46,976,240/103,190,320 = 103,190,320/x
  3. Step 3: Cross multiply
    46,976,240x = 103,190,320 × 103,190,320
  4. Step 4: Simplify right side
    46,976,240x = 10,648,242,141,702,400
  5. Step 5: Solve for x
    x = 10,648,242,141,702,400/46,976,240
  6. Step 6: Final answer
    x = 226,672,933.84

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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.