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Finding the Third Proportional to 101,893,670 and 215,288,140

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Solution

The third proportional to 101,893,670 and 215,288,140 is: 454,875,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,893,670 : 215,288,140 = 215,288,140 : x
  2. Step 2: Convert to fraction form
    101,893,670/215,288,140 = 215,288,140/x
  3. Step 3: Cross multiply
    101,893,670x = 215,288,140 × 215,288,140
  4. Step 4: Simplify right side
    101,893,670x = 46,348,983,224,659,600
  5. Step 5: Solve for x
    x = 46,348,983,224,659,600/101,893,670
  6. Step 6: Final answer
    x = 454,875,982.23

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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.