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Finding the Third Proportional to 133,985,073 and 290,229,181.50

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Solution

The third proportional to 133,985,073 and 290,229,181.50 is: 628,674,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,985,073 : 290,229,181.50 = 290,229,181.50 : x
  2. Step 2: Convert to fraction form
    133,985,073/290,229,181.50 = 290,229,181.50/x
  3. Step 3: Cross multiply
    133,985,073x = 290,229,181.50 × 290,229,181.50
  4. Step 4: Simplify right side
    133,985,073x = 84,232,977,794,159,936
  5. Step 5: Solve for x
    x = 84,232,977,794,159,936/133,985,073
  6. Step 6: Final answer
    x = 628,674,343.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.