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Finding the Third Proportional to 76,049,870 and 164,222,854

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Solution

The third proportional to 76,049,870 and 164,222,854 is: 354,624,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,049,870 : 164,222,854 = 164,222,854 : x
  2. Step 2: Convert to fraction form
    76,049,870/164,222,854 = 164,222,854/x
  3. Step 3: Cross multiply
    76,049,870x = 164,222,854 × 164,222,854
  4. Step 4: Simplify right side
    76,049,870x = 26,969,145,775,905,316
  5. Step 5: Solve for x
    x = 26,969,145,775,905,316/76,049,870
  6. Step 6: Final answer
    x = 354,624,482.28

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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.