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Finding the Third Proportional to 186,934,671.88 and 409,049,425.63

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Solution

The third proportional to 186,934,671.88 and 409,049,425.63 is: 895,079,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,934,671.88 : 409,049,425.63 = 409,049,425.63 : x
  2. Step 2: Convert to fraction form
    186,934,671.88/409,049,425.63 = 409,049,425.63/x
  3. Step 3: Cross multiply
    186,934,671.88x = 409,049,425.63 × 409,049,425.63
  4. Step 4: Simplify right side
    186,934,671.88x = 167,321,432,604,142,400
  5. Step 5: Solve for x
    x = 167,321,432,604,142,400/186,934,671.88
  6. Step 6: Final answer
    x = 895,079,713.82

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Why These Related Problems?

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