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Finding the Third Proportional to 92,973,214 and 202,686,838

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Solution

The third proportional to 92,973,214 and 202,686,838 is: 441,868,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,973,214 : 202,686,838 = 202,686,838 : x
  2. Step 2: Convert to fraction form
    92,973,214/202,686,838 = 202,686,838/x
  3. Step 3: Cross multiply
    92,973,214x = 202,686,838 × 202,686,838
  4. Step 4: Simplify right side
    92,973,214x = 41,081,954,298,438,240
  5. Step 5: Solve for x
    x = 41,081,954,298,438,240/92,973,214
  6. Step 6: Final answer
    x = 441,868,711.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.