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Finding the Third Proportional to 143,564,157 and 313,114,248

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Solution

The third proportional to 143,564,157 and 313,114,248 is: 682,903,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,564,157 : 313,114,248 = 313,114,248 : x
  2. Step 2: Convert to fraction form
    143,564,157/313,114,248 = 313,114,248/x
  3. Step 3: Cross multiply
    143,564,157x = 313,114,248 × 313,114,248
  4. Step 4: Simplify right side
    143,564,157x = 98,040,532,300,605,504
  5. Step 5: Solve for x
    x = 98,040,532,300,605,504/143,564,157
  6. Step 6: Final answer
    x = 682,903,966.77

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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.