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Finding the Third Proportional to 176,771,076 and 416,698,592

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Solution

The third proportional to 176,771,076 and 416,698,592 is: 982,274,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,771,076 : 416,698,592 = 416,698,592 : x
  2. Step 2: Convert to fraction form
    176,771,076/416,698,592 = 416,698,592/x
  3. Step 3: Cross multiply
    176,771,076x = 416,698,592 × 416,698,592
  4. Step 4: Simplify right side
    176,771,076x = 173,637,716,574,782,464
  5. Step 5: Solve for x
    x = 173,637,716,574,782,464/176,771,076
  6. Step 6: Final answer
    x = 982,274,478.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.