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Finding the Third Proportional to 166,894,866 and 338,506,254

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Solution

The third proportional to 166,894,866 and 338,506,254 is: 686,578,842.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,894,866 : 338,506,254 = 338,506,254 : x
  2. Step 2: Convert to fraction form
    166,894,866/338,506,254 = 338,506,254/x
  3. Step 3: Cross multiply
    166,894,866x = 338,506,254 × 338,506,254
  4. Step 4: Simplify right side
    166,894,866x = 114,586,483,997,112,512
  5. Step 5: Solve for x
    x = 114,586,483,997,112,512/166,894,866
  6. Step 6: Final answer
    x = 686,578,842.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.