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Finding the Third Proportional to 105,805,236,328 and 228,441,786,496

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Solution

The third proportional to 105,805,236,328 and 228,441,786,496 is: 493,223,696,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,805,236,328 : 228,441,786,496 = 228,441,786,496 : x
  2. Step 2: Convert to fraction form
    105,805,236,328/228,441,786,496 = 228,441,786,496/x
  3. Step 3: Cross multiply
    105,805,236,328x = 228,441,786,496 × 228,441,786,496
  4. Step 4: Simplify right side
    105,805,236,328x = 52,185,649,817,484,051,611,648
  5. Step 5: Solve for x
    x = 52,185,649,817,484,051,611,648/105,805,236,328
  6. Step 6: Final answer
    x = 493,223,696,941.68

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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.