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Finding the Third Proportional to 101,893,671 and 215,288,142

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Solution

The third proportional to 101,893,671 and 215,288,142 is: 454,875,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,893,671 : 215,288,142 = 215,288,142 : x
  2. Step 2: Convert to fraction form
    101,893,671/215,288,142 = 215,288,142/x
  3. Step 3: Cross multiply
    101,893,671x = 215,288,142 × 215,288,142
  4. Step 4: Simplify right side
    101,893,671x = 46,348,984,085,812,160
  5. Step 5: Solve for x
    x = 46,348,984,085,812,160/101,893,671
  6. Step 6: Final answer
    x = 454,875,986.22

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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.