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Finding the Third Proportional to 69,919,368 and 105,850,080

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Solution

The third proportional to 69,919,368 and 105,850,080 is: 160,245,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,919,368 : 105,850,080 = 105,850,080 : x
  2. Step 2: Convert to fraction form
    69,919,368/105,850,080 = 105,850,080/x
  3. Step 3: Cross multiply
    69,919,368x = 105,850,080 × 105,850,080
  4. Step 4: Simplify right side
    69,919,368x = 11,204,239,436,006,400
  5. Step 5: Solve for x
    x = 11,204,239,436,006,400/69,919,368
  6. Step 6: Final answer
    x = 160,245,147.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.