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Finding the Third Proportional to 140,646,273 and 304,031,406

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Solution

The third proportional to 140,646,273 and 304,031,406 is: 657,216,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,646,273 : 304,031,406 = 304,031,406 : x
  2. Step 2: Convert to fraction form
    140,646,273/304,031,406 = 304,031,406/x
  3. Step 3: Cross multiply
    140,646,273x = 304,031,406 × 304,031,406
  4. Step 4: Simplify right side
    140,646,273x = 92,435,095,834,336,832
  5. Step 5: Solve for x
    x = 92,435,095,834,336,832/140,646,273
  6. Step 6: Final answer
    x = 657,216,816.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.