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Finding the Third Proportional to 186,388,524 and 277,966,448

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Solution

The third proportional to 186,388,524 and 277,966,448 is: 414,539,181.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,388,524 : 277,966,448 = 277,966,448 : x
  2. Step 2: Convert to fraction form
    186,388,524/277,966,448 = 277,966,448/x
  3. Step 3: Cross multiply
    186,388,524x = 277,966,448 × 277,966,448
  4. Step 4: Simplify right side
    186,388,524x = 77,265,346,213,736,704
  5. Step 5: Solve for x
    x = 77,265,346,213,736,704/186,388,524
  6. Step 6: Final answer
    x = 414,539,181.68

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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.