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Finding the Third Proportional to 196,774,636.50 and 430,617,465

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Solution

The third proportional to 196,774,636.50 and 430,617,465 is: 942,354,179.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,774,636.50 : 430,617,465 = 430,617,465 : x
  2. Step 2: Convert to fraction form
    196,774,636.50/430,617,465 = 430,617,465/x
  3. Step 3: Cross multiply
    196,774,636.50x = 430,617,465 × 430,617,465
  4. Step 4: Simplify right side
    196,774,636.50x = 185,431,401,163,026,240
  5. Step 5: Solve for x
    x = 185,431,401,163,026,240/196,774,636.50
  6. Step 6: Final answer
    x = 942,354,179.69

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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.