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Finding the Third Proportional to 272,234,036 and 418,443,222

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Solution

The third proportional to 272,234,036 and 418,443,222 is: 643,177,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,036 : 418,443,222 = 418,443,222 : x
  2. Step 2: Convert to fraction form
    272,234,036/418,443,222 = 418,443,222/x
  3. Step 3: Cross multiply
    272,234,036x = 418,443,222 × 418,443,222
  4. Step 4: Simplify right side
    272,234,036x = 175,094,730,037,741,280
  5. Step 5: Solve for x
    x = 175,094,730,037,741,280/272,234,036
  6. Step 6: Final answer
    x = 643,177,218.43

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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.