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Finding the Third Proportional to 247,056,213.38 and 329,369,573.81

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Solution

The third proportional to 247,056,213.38 and 329,369,573.81 is: 439,107,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,056,213.38 : 329,369,573.81 = 329,369,573.81 : x
  2. Step 2: Convert to fraction form
    247,056,213.38/329,369,573.81 = 329,369,573.81/x
  3. Step 3: Cross multiply
    247,056,213.38x = 329,369,573.81 × 329,369,573.81
  4. Step 4: Simplify right side
    247,056,213.38x = 108,484,316,153,427,888
  5. Step 5: Solve for x
    x = 108,484,316,153,427,888/247,056,213.38
  6. Step 6: Final answer
    x = 439,107,823.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.