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Finding the Third Proportional to 176,971,154 and 277,008,191

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Solution

The third proportional to 176,971,154 and 277,008,191 is: 433,593,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,971,154 : 277,008,191 = 277,008,191 : x
  2. Step 2: Convert to fraction form
    176,971,154/277,008,191 = 277,008,191/x
  3. Step 3: Cross multiply
    176,971,154x = 277,008,191 × 277,008,191
  4. Step 4: Simplify right side
    176,971,154x = 76,733,537,881,092,480
  5. Step 5: Solve for x
    x = 76,733,537,881,092,480/176,971,154
  6. Step 6: Final answer
    x = 433,593,476.38

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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.