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Finding the Third Proportional to 196,863,052 and 430,781,660

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Solution

The third proportional to 196,863,052 and 430,781,660 is: 942,649,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,863,052 : 430,781,660 = 430,781,660 : x
  2. Step 2: Convert to fraction form
    196,863,052/430,781,660 = 430,781,660/x
  3. Step 3: Cross multiply
    196,863,052x = 430,781,660 × 430,781,660
  4. Step 4: Simplify right side
    196,863,052x = 185,572,838,592,355,584
  5. Step 5: Solve for x
    x = 185,572,838,592,355,584/196,863,052
  6. Step 6: Final answer
    x = 942,649,403.77

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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.