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Finding the Third Proportional to 145,719,208 and 315,652,231

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Solution

The third proportional to 145,719,208 and 315,652,231 is: 683,755,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,719,208 : 315,652,231 = 315,652,231 : x
  2. Step 2: Convert to fraction form
    145,719,208/315,652,231 = 315,652,231/x
  3. Step 3: Cross multiply
    145,719,208x = 315,652,231 × 315,652,231
  4. Step 4: Simplify right side
    145,719,208x = 99,636,330,935,277,360
  5. Step 5: Solve for x
    x = 99,636,330,935,277,360/145,719,208
  6. Step 6: Final answer
    x = 683,755,644.18

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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.