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Finding the Third Proportional to 129,465,057.38 and 277,294,350.38

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Solution

The third proportional to 129,465,057.38 and 277,294,350.38 is: 593,922,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,465,057.38 : 277,294,350.38 = 277,294,350.38 : x
  2. Step 2: Convert to fraction form
    129,465,057.38/277,294,350.38 = 277,294,350.38/x
  3. Step 3: Cross multiply
    129,465,057.38x = 277,294,350.38 × 277,294,350.38
  4. Step 4: Simplify right side
    129,465,057.38x = 76,892,156,749,893,264
  5. Step 5: Solve for x
    x = 76,892,156,749,893,264/129,465,057.38
  6. Step 6: Final answer
    x = 593,922,084.53

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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.