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Finding the Third Proportional to 54,416,989 and 118,399,749.50

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Solution

The third proportional to 54,416,989 and 118,399,749.50 is: 257,612,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,416,989 : 118,399,749.50 = 118,399,749.50 : x
  2. Step 2: Convert to fraction form
    54,416,989/118,399,749.50 = 118,399,749.50/x
  3. Step 3: Cross multiply
    54,416,989x = 118,399,749.50 × 118,399,749.50
  4. Step 4: Simplify right side
    54,416,989x = 14,018,500,681,662,750
  5. Step 5: Solve for x
    x = 14,018,500,681,662,750/54,416,989
  6. Step 6: Final answer
    x = 257,612,575.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.