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Finding the Third Proportional to 194,021,808 and 290,961,468

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Solution

The third proportional to 194,021,808 and 290,961,468 is: 436,335,362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,021,808 : 290,961,468 = 290,961,468 : x
  2. Step 2: Convert to fraction form
    194,021,808/290,961,468 = 290,961,468/x
  3. Step 3: Cross multiply
    194,021,808x = 290,961,468 × 290,961,468
  4. Step 4: Simplify right side
    194,021,808x = 84,658,575,860,715,024
  5. Step 5: Solve for x
    x = 84,658,575,860,715,024/194,021,808
  6. Step 6: Final answer
    x = 436,335,362.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.