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Finding the Third Proportional to 125,655,913,462 and 176,320,121,262

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Solution

The third proportional to 125,655,913,462 and 176,320,121,262 is: 247,412,034,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,655,913,462 : 176,320,121,262 = 176,320,121,262 : x
  2. Step 2: Convert to fraction form
    125,655,913,462/176,320,121,262 = 176,320,121,262/x
  3. Step 3: Cross multiply
    125,655,913,462x = 176,320,121,262 × 176,320,121,262
  4. Step 4: Simplify right side
    125,655,913,462x = 31,088,785,161,846,385,541,120
  5. Step 5: Solve for x
    x = 31,088,785,161,846,385,541,120/125,655,913,462
  6. Step 6: Final answer
    x = 247,412,034,223.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.