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Finding the Third Proportional to 101,893,674 and 215,288,148

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Solution

The third proportional to 101,893,674 and 215,288,148 is: 454,875,998.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,893,674 : 215,288,148 = 215,288,148 : x
  2. Step 2: Convert to fraction form
    101,893,674/215,288,148 = 215,288,148/x
  3. Step 3: Cross multiply
    101,893,674x = 215,288,148 × 215,288,148
  4. Step 4: Simplify right side
    101,893,674x = 46,348,986,669,269,904
  5. Step 5: Solve for x
    x = 46,348,986,669,269,904/101,893,674
  6. Step 6: Final answer
    x = 454,875,998.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.