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Finding the Third Proportional to 190,740,340 and 411,969,584

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Solution

The third proportional to 190,740,340 and 411,969,584 is: 889,790,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,740,340 : 411,969,584 = 411,969,584 : x
  2. Step 2: Convert to fraction form
    190,740,340/411,969,584 = 411,969,584/x
  3. Step 3: Cross multiply
    190,740,340x = 411,969,584 × 411,969,584
  4. Step 4: Simplify right side
    190,740,340x = 169,718,938,141,133,056
  5. Step 5: Solve for x
    x = 169,718,938,141,133,056/190,740,340
  6. Step 6: Final answer
    x = 889,790,477.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.