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Finding the Third Proportional to 186,934,674 and 409,049,431

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Solution

The third proportional to 186,934,674 and 409,049,431 is: 895,079,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,934,674 : 409,049,431 = 409,049,431 : x
  2. Step 2: Convert to fraction form
    186,934,674/409,049,431 = 409,049,431/x
  3. Step 3: Cross multiply
    186,934,674x = 409,049,431 × 409,049,431
  4. Step 4: Simplify right side
    186,934,674x = 167,321,437,001,423,776
  5. Step 5: Solve for x
    x = 167,321,437,001,423,776/186,934,674
  6. Step 6: Final answer
    x = 895,079,727.16

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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.