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Finding the Third Proportional to 272,234,709 and 418,444,339.50

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Solution

The third proportional to 272,234,709 and 418,444,339.50 is: 643,179,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,234,709 : 418,444,339.50 = 418,444,339.50 : x
  2. Step 2: Convert to fraction form
    272,234,709/418,444,339.50 = 418,444,339.50/x
  3. Step 3: Cross multiply
    272,234,709x = 418,444,339.50 × 418,444,339.50
  4. Step 4: Simplify right side
    272,234,709x = 175,095,665,259,591,264
  5. Step 5: Solve for x
    x = 175,095,665,259,591,264/272,234,709
  6. Step 6: Final answer
    x = 643,179,063.77

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Why These Related Problems?

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