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Finding the Third Proportional to 182,160,871 and 281,753,459

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Solution

The third proportional to 182,160,871 and 281,753,459 is: 435,796,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,160,871 : 281,753,459 = 281,753,459 : x
  2. Step 2: Convert to fraction form
    182,160,871/281,753,459 = 281,753,459/x
  3. Step 3: Cross multiply
    182,160,871x = 281,753,459 × 281,753,459
  4. Step 4: Simplify right side
    182,160,871x = 79,385,011,658,464,688
  5. Step 5: Solve for x
    x = 79,385,011,658,464,688/182,160,871
  6. Step 6: Final answer
    x = 435,796,179.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.