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Finding the Third Proportional to 195,574,312 and 414,465,566

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Solution

The third proportional to 195,574,312 and 414,465,566 is: 878,344,930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,574,312 : 414,465,566 = 414,465,566 : x
  2. Step 2: Convert to fraction form
    195,574,312/414,465,566 = 414,465,566/x
  3. Step 3: Cross multiply
    195,574,312x = 414,465,566 × 414,465,566
  4. Step 4: Simplify right side
    195,574,312x = 171,781,705,399,700,352
  5. Step 5: Solve for x
    x = 171,781,705,399,700,352/195,574,312
  6. Step 6: Final answer
    x = 878,344,930.08

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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.