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Finding the Third Proportional to 127,418,176 and 196,760,128

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Solution

The third proportional to 127,418,176 and 196,760,128 is: 303,838,503.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,418,176 : 196,760,128 = 196,760,128 : x
  2. Step 2: Convert to fraction form
    127,418,176/196,760,128 = 196,760,128/x
  3. Step 3: Cross multiply
    127,418,176x = 196,760,128 × 196,760,128
  4. Step 4: Simplify right side
    127,418,176x = 38,714,547,970,576,384
  5. Step 5: Solve for x
    x = 38,714,547,970,576,384/127,418,176
  6. Step 6: Final answer
    x = 303,838,503.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.