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Finding the Third Proportional to 46,294,020 and 98,965,656

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Solution

The third proportional to 46,294,020 and 98,965,656 is: 211,565,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,294,020 : 98,965,656 = 98,965,656 : x
  2. Step 2: Convert to fraction form
    46,294,020/98,965,656 = 98,965,656/x
  3. Step 3: Cross multiply
    46,294,020x = 98,965,656 × 98,965,656
  4. Step 4: Simplify right side
    46,294,020x = 9,794,201,067,510,336
  5. Step 5: Solve for x
    x = 9,794,201,067,510,336/46,294,020
  6. Step 6: Final answer
    x = 211,565,145.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.