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Finding the Third Proportional to 83,187,900 and 179,528,964

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Solution

The third proportional to 83,187,900 and 179,528,964 is: 387,443,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,187,900 : 179,528,964 = 179,528,964 : x
  2. Step 2: Convert to fraction form
    83,187,900/179,528,964 = 179,528,964/x
  3. Step 3: Cross multiply
    83,187,900x = 179,528,964 × 179,528,964
  4. Step 4: Simplify right side
    83,187,900x = 32,230,648,914,913,296
  5. Step 5: Solve for x
    x = 32,230,648,914,913,296/83,187,900
  6. Step 6: Final answer
    x = 387,443,954.17

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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.