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Finding the Third Proportional to 216,176,211,420 and 450,245,195,662

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Solution

The third proportional to 216,176,211,420 and 450,245,195,662 is: 937,756,910,832.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,176,211,420 : 450,245,195,662 = 450,245,195,662 : x
  2. Step 2: Convert to fraction form
    216,176,211,420/450,245,195,662 = 450,245,195,662/x
  3. Step 3: Cross multiply
    216,176,211,420x = 450,245,195,662 × 450,245,195,662
  4. Step 4: Simplify right side
    216,176,211,420x = 202,720,736,216,712,671,657,984
  5. Step 5: Solve for x
    x = 202,720,736,216,712,671,657,984/216,176,211,420
  6. Step 6: Final answer
    x = 937,756,910,832.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.