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Finding the Third Proportional to 82,816,988 and 179,436,040

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Solution

The third proportional to 82,816,988 and 179,436,040 is: 388,776,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,816,988 : 179,436,040 = 179,436,040 : x
  2. Step 2: Convert to fraction form
    82,816,988/179,436,040 = 179,436,040/x
  3. Step 3: Cross multiply
    82,816,988x = 179,436,040 × 179,436,040
  4. Step 4: Simplify right side
    82,816,988x = 32,197,292,450,881,600
  5. Step 5: Solve for x
    x = 32,197,292,450,881,600/82,816,988
  6. Step 6: Final answer
    x = 388,776,424.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.