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Finding the Third Proportional to 84,073,540 and 181,112,264

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Solution

The third proportional to 84,073,540 and 181,112,264 is: 390,154,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,073,540 : 181,112,264 = 181,112,264 : x
  2. Step 2: Convert to fraction form
    84,073,540/181,112,264 = 181,112,264/x
  3. Step 3: Cross multiply
    84,073,540x = 181,112,264 × 181,112,264
  4. Step 4: Simplify right side
    84,073,540x = 32,801,652,171,205,696
  5. Step 5: Solve for x
    x = 32,801,652,171,205,696/84,073,540
  6. Step 6: Final answer
    x = 390,154,288.39

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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.