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Finding the Third Proportional to 54,242,581.50 and 128,023,031.25

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Solution

The third proportional to 54,242,581.50 and 128,023,031.25 is: 302,159,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,242,581.50 : 128,023,031.25 = 128,023,031.25 : x
  2. Step 2: Convert to fraction form
    54,242,581.50/128,023,031.25 = 128,023,031.25/x
  3. Step 3: Cross multiply
    54,242,581.50x = 128,023,031.25 × 128,023,031.25
  4. Step 4: Simplify right side
    54,242,581.50x = 16,389,896,530,438,476
  5. Step 5: Solve for x
    x = 16,389,896,530,438,476/54,242,581.50
  6. Step 6: Final answer
    x = 302,159,227.63

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.