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Finding the Third Proportional to 76,398,307 and 165,716,223

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Solution

The third proportional to 76,398,307 and 165,716,223 is: 359,456,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,398,307 : 165,716,223 = 165,716,223 : x
  2. Step 2: Convert to fraction form
    76,398,307/165,716,223 = 165,716,223/x
  3. Step 3: Cross multiply
    76,398,307x = 165,716,223 × 165,716,223
  4. Step 4: Simplify right side
    76,398,307x = 27,461,866,565,385,728
  5. Step 5: Solve for x
    x = 27,461,866,565,385,728/76,398,307
  6. Step 6: Final answer
    x = 359,456,480.70

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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.