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Finding the Third Proportional to 46,793,187 and 100,985,030

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Solution

The third proportional to 46,793,187 and 100,985,030 is: 217,937,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,793,187 : 100,985,030 = 100,985,030 : x
  2. Step 2: Convert to fraction form
    46,793,187/100,985,030 = 100,985,030/x
  3. Step 3: Cross multiply
    46,793,187x = 100,985,030 × 100,985,030
  4. Step 4: Simplify right side
    46,793,187x = 10,197,976,284,100,900
  5. Step 5: Solve for x
    x = 10,197,976,284,100,900/46,793,187
  6. Step 6: Final answer
    x = 217,937,202.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.