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Finding the Third Proportional to 186,298,930,503 and 304,177,172,170.50

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Solution

The third proportional to 186,298,930,503 and 304,177,172,170.50 is: 496,641,348,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,298,930,503 : 304,177,172,170.50 = 304,177,172,170.50 : x
  2. Step 2: Convert to fraction form
    186,298,930,503/304,177,172,170.50 = 304,177,172,170.50/x
  3. Step 3: Cross multiply
    186,298,930,503x = 304,177,172,170.50 × 304,177,172,170.50
  4. Step 4: Simplify right side
    186,298,930,503x = 92,523,752,069,642,007,347,200
  5. Step 5: Solve for x
    x = 92,523,752,069,642,007,347,200/186,298,930,503
  6. Step 6: Final answer
    x = 496,641,348,502.81

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.