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Finding the Third Proportional to 149,574,666 and 229,764,984

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Solution

The third proportional to 149,574,666 and 229,764,984 is: 352,947,121.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,574,666 : 229,764,984 = 229,764,984 : x
  2. Step 2: Convert to fraction form
    149,574,666/229,764,984 = 229,764,984/x
  3. Step 3: Cross multiply
    149,574,666x = 229,764,984 × 229,764,984
  4. Step 4: Simplify right side
    149,574,666x = 52,791,947,872,520,256
  5. Step 5: Solve for x
    x = 52,791,947,872,520,256/149,574,666
  6. Step 6: Final answer
    x = 352,947,121.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.