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Finding the Third Proportional to 181,262,754 and 277,095,666

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Solution

The third proportional to 181,262,754 and 277,095,666 is: 423,595,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,262,754 : 277,095,666 = 277,095,666 : x
  2. Step 2: Convert to fraction form
    181,262,754/277,095,666 = 277,095,666/x
  3. Step 3: Cross multiply
    181,262,754x = 277,095,666 × 277,095,666
  4. Step 4: Simplify right side
    181,262,754x = 76,782,008,115,983,552
  5. Step 5: Solve for x
    x = 76,782,008,115,983,552/181,262,754
  6. Step 6: Final answer
    x = 423,595,065.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.