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Finding the Third Proportional to 145,135,551 and 313,359,342

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Solution

The third proportional to 145,135,551 and 313,359,342 is: 676,568,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,135,551 : 313,359,342 = 313,359,342 : x
  2. Step 2: Convert to fraction form
    145,135,551/313,359,342 = 313,359,342/x
  3. Step 3: Cross multiply
    145,135,551x = 313,359,342 × 313,359,342
  4. Step 4: Simplify right side
    145,135,551x = 98,194,077,218,672,960
  5. Step 5: Solve for x
    x = 98,194,077,218,672,960/145,135,551
  6. Step 6: Final answer
    x = 676,568,053.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.