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Finding the Third Proportional to 176,971,157 and 277,008,196

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Solution

The third proportional to 176,971,157 and 277,008,196 is: 433,593,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,971,157 : 277,008,196 = 277,008,196 : x
  2. Step 2: Convert to fraction form
    176,971,157/277,008,196 = 277,008,196/x
  3. Step 3: Cross multiply
    176,971,157x = 277,008,196 × 277,008,196
  4. Step 4: Simplify right side
    176,971,157x = 76,733,540,651,174,416
  5. Step 5: Solve for x
    x = 76,733,540,651,174,416/176,971,157
  6. Step 6: Final answer
    x = 433,593,484.68

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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.