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Finding the Third Proportional to 134,905,294,305 and 299,973,486,969

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Solution

The third proportional to 134,905,294,305 and 299,973,486,969 is: 667,016,764,226.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,905,294,305 : 299,973,486,969 = 299,973,486,969 : x
  2. Step 2: Convert to fraction form
    134,905,294,305/299,973,486,969 = 299,973,486,969/x
  3. Step 3: Cross multiply
    134,905,294,305x = 299,973,486,969 × 299,973,486,969
  4. Step 4: Simplify right side
    134,905,294,305x = 89,984,092,884,340,807,041,024
  5. Step 5: Solve for x
    x = 89,984,092,884,340,807,041,024/134,905,294,305
  6. Step 6: Final answer
    x = 667,016,764,226.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.