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Finding the Third Proportional to 71,908,185 and 157,269,282

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Solution

The third proportional to 71,908,185 and 157,269,282 is: 343,961,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,908,185 : 157,269,282 = 157,269,282 : x
  2. Step 2: Convert to fraction form
    71,908,185/157,269,282 = 157,269,282/x
  3. Step 3: Cross multiply
    71,908,185x = 157,269,282 × 157,269,282
  4. Step 4: Simplify right side
    71,908,185x = 24,733,627,060,795,524
  5. Step 5: Solve for x
    x = 24,733,627,060,795,524/71,908,185
  6. Step 6: Final answer
    x = 343,961,220.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.