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Finding the Third Proportional to 195,574,314 and 414,465,570

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Solution

The third proportional to 195,574,314 and 414,465,570 is: 878,344,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,574,314 : 414,465,570 = 414,465,570 : x
  2. Step 2: Convert to fraction form
    195,574,314/414,465,570 = 414,465,570/x
  3. Step 3: Cross multiply
    195,574,314x = 414,465,570 × 414,465,570
  4. Step 4: Simplify right side
    195,574,314x = 171,781,708,715,424,896
  5. Step 5: Solve for x
    x = 171,781,708,715,424,896/195,574,314
  6. Step 6: Final answer
    x = 878,344,938.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.