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Finding the Third Proportional to 83,531,871 and 179,402,796

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Solution

The third proportional to 83,531,871 and 179,402,796 is: 385,306,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,531,871 : 179,402,796 = 179,402,796 : x
  2. Step 2: Convert to fraction form
    83,531,871/179,402,796 = 179,402,796/x
  3. Step 3: Cross multiply
    83,531,871x = 179,402,796 × 179,402,796
  4. Step 4: Simplify right side
    83,531,871x = 32,185,363,212,617,616
  5. Step 5: Solve for x
    x = 32,185,363,212,617,616/83,531,871
  6. Step 6: Final answer
    x = 385,306,384.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.