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Finding the Third Proportional to 186,934,659 and 409,049,400

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Solution

The third proportional to 186,934,659 and 409,049,400 is: 895,079,663.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,934,659 : 409,049,400 = 409,049,400 : x
  2. Step 2: Convert to fraction form
    186,934,659/409,049,400 = 409,049,400/x
  3. Step 3: Cross multiply
    186,934,659x = 409,049,400 × 409,049,400
  4. Step 4: Simplify right side
    186,934,659x = 167,321,411,640,360,000
  5. Step 5: Solve for x
    x = 167,321,411,640,360,000/186,934,659
  6. Step 6: Final answer
    x = 895,079,663.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.