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Finding the Third Proportional to 132,223,194 and 285,692,364

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Solution

The third proportional to 132,223,194 and 285,692,364 is: 617,290,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,223,194 : 285,692,364 = 285,692,364 : x
  2. Step 2: Convert to fraction form
    132,223,194/285,692,364 = 285,692,364/x
  3. Step 3: Cross multiply
    132,223,194x = 285,692,364 × 285,692,364
  4. Step 4: Simplify right side
    132,223,194x = 81,620,126,847,908,496
  5. Step 5: Solve for x
    x = 81,620,126,847,908,496/132,223,194
  6. Step 6: Final answer
    x = 617,290,540.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.