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Finding the Third Proportional to 108,851,619 and 235,019,416.50

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Solution

The third proportional to 108,851,619 and 235,019,416.50 is: 507,425,857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,851,619 : 235,019,416.50 = 235,019,416.50 : x
  2. Step 2: Convert to fraction form
    108,851,619/235,019,416.50 = 235,019,416.50/x
  3. Step 3: Cross multiply
    108,851,619x = 235,019,416.50 × 235,019,416.50
  4. Step 4: Simplify right side
    108,851,619x = 55,234,126,132,000,472
  5. Step 5: Solve for x
    x = 55,234,126,132,000,472/108,851,619
  6. Step 6: Final answer
    x = 507,425,857.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.