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Finding the Third Proportional to 192,254,290 and 297,880,913

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Solution

The third proportional to 192,254,290 and 297,880,913 is: 461,539,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,254,290 : 297,880,913 = 297,880,913 : x
  2. Step 2: Convert to fraction form
    192,254,290/297,880,913 = 297,880,913/x
  3. Step 3: Cross multiply
    192,254,290x = 297,880,913 × 297,880,913
  4. Step 4: Simplify right side
    192,254,290x = 88,733,038,329,713,568
  5. Step 5: Solve for x
    x = 88,733,038,329,713,568/192,254,290
  6. Step 6: Final answer
    x = 461,539,965.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.