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Finding the Third Proportional to 186,699,659,898.50 and 401,715,770,746.50

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Solution

The third proportional to 186,699,659,898.50 and 401,715,770,746.50 is: 864,359,156,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,699,659,898.50 : 401,715,770,746.50 = 401,715,770,746.50 : x
  2. Step 2: Convert to fraction form
    186,699,659,898.50/401,715,770,746.50 = 401,715,770,746.50/x
  3. Step 3: Cross multiply
    186,699,659,898.50x = 401,715,770,746.50 × 401,715,770,746.50
  4. Step 4: Simplify right side
    186,699,659,898.50x = 161,375,560,466,454,548,578,304
  5. Step 5: Solve for x
    x = 161,375,560,466,454,548,578,304/186,699,659,898.50
  6. Step 6: Final answer
    x = 864,359,156,059.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.