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Finding the Third Proportional to 123,235,392 and 191,919,643.50

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Solution

The third proportional to 123,235,392 and 191,919,643.50 is: 298,884,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,235,392 : 191,919,643.50 = 191,919,643.50 : x
  2. Step 2: Convert to fraction form
    123,235,392/191,919,643.50 = 191,919,643.50/x
  3. Step 3: Cross multiply
    123,235,392x = 191,919,643.50 × 191,919,643.50
  4. Step 4: Simplify right side
    123,235,392x = 36,833,149,561,167,096
  5. Step 5: Solve for x
    x = 36,833,149,561,167,096/123,235,392
  6. Step 6: Final answer
    x = 298,884,508.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.