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Finding the Third Proportional to 186,764,418 and 279,117,265.50

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Solution

The third proportional to 186,764,418 and 279,117,265.50 is: 417,137,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,764,418 : 279,117,265.50 = 279,117,265.50 : x
  2. Step 2: Convert to fraction form
    186,764,418/279,117,265.50 = 279,117,265.50/x
  3. Step 3: Cross multiply
    186,764,418x = 279,117,265.50 × 279,117,265.50
  4. Step 4: Simplify right side
    186,764,418x = 77,906,447,900,197,488
  5. Step 5: Solve for x
    x = 77,906,447,900,197,488/186,764,418
  6. Step 6: Final answer
    x = 417,137,529.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.