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Finding the Third Proportional to 229,542,729 and 491,832,742.50

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Solution

The third proportional to 229,542,729 and 491,832,742.50 is: 1,053,831,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,542,729 : 491,832,742.50 = 491,832,742.50 : x
  2. Step 2: Convert to fraction form
    229,542,729/491,832,742.50 = 491,832,742.50/x
  3. Step 3: Cross multiply
    229,542,729x = 491,832,742.50 × 491,832,742.50
  4. Step 4: Simplify right side
    229,542,729x = 241,899,446,595,071,296
  5. Step 5: Solve for x
    x = 241,899,446,595,071,296/229,542,729
  6. Step 6: Final answer
    x = 1,053,831,884.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.