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Finding the Third Proportional to 219,719,934 and 299,221,047

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Solution

The third proportional to 219,719,934 and 299,221,047 is: 407,487,993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,719,934 : 299,221,047 = 299,221,047 : x
  2. Step 2: Convert to fraction form
    219,719,934/299,221,047 = 299,221,047/x
  3. Step 3: Cross multiply
    219,719,934x = 299,221,047 × 299,221,047
  4. Step 4: Simplify right side
    219,719,934x = 89,533,234,967,776,208
  5. Step 5: Solve for x
    x = 89,533,234,967,776,208/219,719,934
  6. Step 6: Final answer
    x = 407,487,993.18

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.