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Finding the Third Proportional to 140,646,275 and 304,031,410

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Solution

The third proportional to 140,646,275 and 304,031,410 is: 657,216,824.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,646,275 : 304,031,410 = 304,031,410 : x
  2. Step 2: Convert to fraction form
    140,646,275/304,031,410 = 304,031,410/x
  3. Step 3: Cross multiply
    140,646,275x = 304,031,410 × 304,031,410
  4. Step 4: Simplify right side
    140,646,275x = 92,435,098,266,588,096
  5. Step 5: Solve for x
    x = 92,435,098,266,588,096/140,646,275
  6. Step 6: Final answer
    x = 657,216,824.74

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