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Finding the Third Proportional to 196,775,382 and 430,618,928

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Solution

The third proportional to 196,775,382 and 430,618,928 is: 942,357,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,775,382 : 430,618,928 = 430,618,928 : x
  2. Step 2: Convert to fraction form
    196,775,382/430,618,928 = 430,618,928/x
  3. Step 3: Cross multiply
    196,775,382x = 430,618,928 × 430,618,928
  4. Step 4: Simplify right side
    196,775,382x = 185,432,661,151,869,184
  5. Step 5: Solve for x
    x = 185,432,661,151,869,184/196,775,382
  6. Step 6: Final answer
    x = 942,357,012.69

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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.