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Finding the Third Proportional to 161,941,264 and 352,634,288

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Solution

The third proportional to 161,941,264 and 352,634,288 is: 767,876,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,941,264 : 352,634,288 = 352,634,288 : x
  2. Step 2: Convert to fraction form
    161,941,264/352,634,288 = 352,634,288/x
  3. Step 3: Cross multiply
    161,941,264x = 352,634,288 × 352,634,288
  4. Step 4: Simplify right side
    161,941,264x = 124,350,941,073,266,944
  5. Step 5: Solve for x
    x = 124,350,941,073,266,944/161,941,264
  6. Step 6: Final answer
    x = 767,876,809.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.