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Finding the Third Proportional to 196,775,365 and 430,618,895

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Solution

The third proportional to 196,775,365 and 430,618,895 is: 942,356,949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,775,365 : 430,618,895 = 430,618,895 : x
  2. Step 2: Convert to fraction form
    196,775,365/430,618,895 = 430,618,895/x
  3. Step 3: Cross multiply
    196,775,365x = 430,618,895 × 430,618,895
  4. Step 4: Simplify right side
    196,775,365x = 185,432,632,731,021,024
  5. Step 5: Solve for x
    x = 185,432,632,731,021,024/196,775,365
  6. Step 6: Final answer
    x = 942,356,949.67

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