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Finding the Third Proportional to 196,774,650 and 430,617,492

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Solution

The third proportional to 196,774,650 and 430,617,492 is: 942,354,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,774,650 : 430,617,492 = 430,617,492 : x
  2. Step 2: Convert to fraction form
    196,774,650/430,617,492 = 430,617,492/x
  3. Step 3: Cross multiply
    196,774,650x = 430,617,492 × 430,617,492
  4. Step 4: Simplify right side
    196,774,650x = 185,431,424,416,370,048
  5. Step 5: Solve for x
    x = 185,431,424,416,370,048/196,774,650
  6. Step 6: Final answer
    x = 942,354,233.21

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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.