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Finding the Third Proportional to 140,646,264 and 304,031,392

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Solution

The third proportional to 140,646,264 and 304,031,392 is: 657,216,798.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,646,264 : 304,031,392 = 304,031,392 : x
  2. Step 2: Convert to fraction form
    140,646,264/304,031,392 = 304,031,392/x
  3. Step 3: Cross multiply
    140,646,264x = 304,031,392 × 304,031,392
  4. Step 4: Simplify right side
    140,646,264x = 92,435,087,321,457,664
  5. Step 5: Solve for x
    x = 92,435,087,321,457,664/140,646,264
  6. Step 6: Final answer
    x = 657,216,798.32

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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.