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Finding the Third Proportional to 127,602,826 and 197,965,481

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Solution

The third proportional to 127,602,826 and 197,965,481 is: 307,127,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,602,826 : 197,965,481 = 197,965,481 : x
  2. Step 2: Convert to fraction form
    127,602,826/197,965,481 = 197,965,481/x
  3. Step 3: Cross multiply
    127,602,826x = 197,965,481 × 197,965,481
  4. Step 4: Simplify right side
    127,602,826x = 39,190,331,667,561,360
  5. Step 5: Solve for x
    x = 39,190,331,667,561,360/127,602,826
  6. Step 6: Final answer
    x = 307,127,458.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.