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Finding the Third Proportional to 272,234,081 and 418,443,290

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Solution

The third proportional to 272,234,081 and 418,443,290 is: 643,177,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,081 : 418,443,290 = 418,443,290 : x
  2. Step 2: Convert to fraction form
    272,234,081/418,443,290 = 418,443,290/x
  3. Step 3: Cross multiply
    272,234,081x = 418,443,290 × 418,443,290
  4. Step 4: Simplify right side
    272,234,081x = 175,094,786,946,024,096
  5. Step 5: Solve for x
    x = 175,094,786,946,024,096/272,234,081
  6. Step 6: Final answer
    x = 643,177,321.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.