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Finding the Third Proportional to 190,618,808 and 416,194,784

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Solution

The third proportional to 190,618,808 and 416,194,784 is: 908,714,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,618,808 : 416,194,784 = 416,194,784 : x
  2. Step 2: Convert to fraction form
    190,618,808/416,194,784 = 416,194,784/x
  3. Step 3: Cross multiply
    190,618,808x = 416,194,784 × 416,194,784
  4. Step 4: Simplify right side
    190,618,808x = 173,218,098,228,806,656
  5. Step 5: Solve for x
    x = 173,218,098,228,806,656/190,618,808
  6. Step 6: Final answer
    x = 908,714,622.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.