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Finding the Third Proportional to 153,139,413 and 235,385,194.50

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Solution

The third proportional to 153,139,413 and 235,385,194.50 is: 361,802,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,139,413 : 235,385,194.50 = 235,385,194.50 : x
  2. Step 2: Convert to fraction form
    153,139,413/235,385,194.50 = 235,385,194.50/x
  3. Step 3: Cross multiply
    153,139,413x = 235,385,194.50 × 235,385,194.50
  4. Step 4: Simplify right side
    153,139,413x = 55,406,189,789,802,832
  5. Step 5: Solve for x
    x = 55,406,189,789,802,832/153,139,413
  6. Step 6: Final answer
    x = 361,802,286.59

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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.