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Finding the Third Proportional to 223,034,238 and 483,129,864.50

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Solution

The third proportional to 223,034,238 and 483,129,864.50 is: 1,046,540,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,034,238 : 483,129,864.50 = 483,129,864.50 : x
  2. Step 2: Convert to fraction form
    223,034,238/483,129,864.50 = 483,129,864.50/x
  3. Step 3: Cross multiply
    223,034,238x = 483,129,864.50 × 483,129,864.50
  4. Step 4: Simplify right side
    223,034,238x = 233,414,465,971,788,352
  5. Step 5: Solve for x
    x = 233,414,465,971,788,352/223,034,238
  6. Step 6: Final answer
    x = 1,046,540,961.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.