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Finding the Third Proportional to 103,381,512 and 160,057,332

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Solution

The third proportional to 103,381,512 and 160,057,332 is: 247,803,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,381,512 : 160,057,332 = 160,057,332 : x
  2. Step 2: Convert to fraction form
    103,381,512/160,057,332 = 160,057,332/x
  3. Step 3: Cross multiply
    103,381,512x = 160,057,332 × 160,057,332
  4. Step 4: Simplify right side
    103,381,512x = 25,618,349,526,958,224
  5. Step 5: Solve for x
    x = 25,618,349,526,958,224/103,381,512
  6. Step 6: Final answer
    x = 247,803,974.15

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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.