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Finding the Third Proportional to 196,863,048 and 430,781,652

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Solution

The third proportional to 196,863,048 and 430,781,652 is: 942,649,387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,863,048 : 430,781,652 = 430,781,652 : x
  2. Step 2: Convert to fraction form
    196,863,048/430,781,652 = 430,781,652/x
  3. Step 3: Cross multiply
    196,863,048x = 430,781,652 × 430,781,652
  4. Step 4: Simplify right side
    196,863,048x = 185,572,831,699,849,088
  5. Step 5: Solve for x
    x = 185,572,831,699,849,088/196,863,048
  6. Step 6: Final answer
    x = 942,649,387.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.