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Finding the Third Proportional to 145,719,243 and 315,652,302

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Solution

The third proportional to 145,719,243 and 315,652,302 is: 683,755,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,719,243 : 315,652,302 = 315,652,302 : x
  2. Step 2: Convert to fraction form
    145,719,243/315,652,302 = 315,652,302/x
  3. Step 3: Cross multiply
    145,719,243x = 315,652,302 × 315,652,302
  4. Step 4: Simplify right side
    145,719,243x = 99,636,375,757,899,200
  5. Step 5: Solve for x
    x = 99,636,375,757,899,200/145,719,243
  6. Step 6: Final answer
    x = 683,755,787.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.