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Finding the Third Proportional to 166,070,551 and 356,786,506

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Solution

The third proportional to 166,070,551 and 356,786,506 is: 766,521,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,070,551 : 356,786,506 = 356,786,506 : x
  2. Step 2: Convert to fraction form
    166,070,551/356,786,506 = 356,786,506/x
  3. Step 3: Cross multiply
    166,070,551x = 356,786,506 × 356,786,506
  4. Step 4: Simplify right side
    166,070,551x = 127,296,610,863,688,032
  5. Step 5: Solve for x
    x = 127,296,610,863,688,032/166,070,551
  6. Step 6: Final answer
    x = 766,521,277.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.