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Finding the Third Proportional to 46,138,362 and 108,913,944

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Solution

The third proportional to 46,138,362 and 108,913,944 is: 257,101,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,138,362 : 108,913,944 = 108,913,944 : x
  2. Step 2: Convert to fraction form
    46,138,362/108,913,944 = 108,913,944/x
  3. Step 3: Cross multiply
    46,138,362x = 108,913,944 × 108,913,944
  4. Step 4: Simplify right side
    46,138,362x = 11,862,247,197,635,136
  5. Step 5: Solve for x
    x = 11,862,247,197,635,136/46,138,362
  6. Step 6: Final answer
    x = 257,101,610.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.