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Finding the Third Proportional to 126,780,026 and 190,472,871

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Solution

The third proportional to 126,780,026 and 190,472,871 is: 286,164,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,780,026 : 190,472,871 = 190,472,871 : x
  2. Step 2: Convert to fraction form
    126,780,026/190,472,871 = 190,472,871/x
  3. Step 3: Cross multiply
    126,780,026x = 190,472,871 × 190,472,871
  4. Step 4: Simplify right side
    126,780,026x = 36,279,914,586,982,640
  5. Step 5: Solve for x
    x = 36,279,914,586,982,640/126,780,026
  6. Step 6: Final answer
    x = 286,164,277.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.