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Finding the Third Proportional to 140,155,396 and 299,680,136

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Solution

The third proportional to 140,155,396 and 299,680,136 is: 640,775,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,155,396 : 299,680,136 = 299,680,136 : x
  2. Step 2: Convert to fraction form
    140,155,396/299,680,136 = 299,680,136/x
  3. Step 3: Cross multiply
    140,155,396x = 299,680,136 × 299,680,136
  4. Step 4: Simplify right side
    140,155,396x = 89,808,183,912,978,496
  5. Step 5: Solve for x
    x = 89,808,183,912,978,496/140,155,396
  6. Step 6: Final answer
    x = 640,775,785.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.