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Finding the Third Proportional to 76,997,066 and 171,209,463

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Solution

The third proportional to 76,997,066 and 171,209,463 is: 380,698,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997,066 : 171,209,463 = 171,209,463 : x
  2. Step 2: Convert to fraction form
    76,997,066/171,209,463 = 171,209,463/x
  3. Step 3: Cross multiply
    76,997,066x = 171,209,463 × 171,209,463
  4. Step 4: Simplify right side
    76,997,066x = 29,312,680,220,748,368
  5. Step 5: Solve for x
    x = 29,312,680,220,748,368/76,997,066
  6. Step 6: Final answer
    x = 380,698,664.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.