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Finding the Third Proportional to 176,971,151.53 and 277,008,187.92

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Solution

The third proportional to 176,971,151.53 and 277,008,187.92 is: 433,593,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,971,151.53 : 277,008,187.92 = 277,008,187.92 : x
  2. Step 2: Convert to fraction form
    176,971,151.53/277,008,187.92 = 277,008,187.92/x
  3. Step 3: Cross multiply
    176,971,151.53x = 277,008,187.92 × 277,008,187.92
  4. Step 4: Simplify right side
    176,971,151.53x = 76,733,536,175,763,584
  5. Step 5: Solve for x
    x = 76,733,536,175,763,584/176,971,151.53
  6. Step 6: Final answer
    x = 433,593,472.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.