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Finding the Third Proportional to 69,012,596 and 147,719,677

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Solution

The third proportional to 69,012,596 and 147,719,677 is: 316,190,148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,012,596 : 147,719,677 = 147,719,677 : x
  2. Step 2: Convert to fraction form
    69,012,596/147,719,677 = 147,719,677/x
  3. Step 3: Cross multiply
    69,012,596x = 147,719,677 × 147,719,677
  4. Step 4: Simplify right side
    69,012,596x = 21,821,102,972,984,328
  5. Step 5: Solve for x
    x = 21,821,102,972,984,328/69,012,596
  6. Step 6: Final answer
    x = 316,190,148.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.