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Finding the Third Proportional to 72,018,264 and 157,697,016

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Solution

The third proportional to 72,018,264 and 157,697,016 is: 345,306,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,018,264 : 157,697,016 = 157,697,016 : x
  2. Step 2: Convert to fraction form
    72,018,264/157,697,016 = 157,697,016/x
  3. Step 3: Cross multiply
    72,018,264x = 157,697,016 × 157,697,016
  4. Step 4: Simplify right side
    72,018,264x = 24,868,348,855,304,256
  5. Step 5: Solve for x
    x = 24,868,348,855,304,256/72,018,264
  6. Step 6: Final answer
    x = 345,306,141.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.