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Finding the Third Proportional to 233,263,966.50 and 503,885,191.50

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Solution

The third proportional to 233,263,966.50 and 503,885,191.50 is: 1,088,467,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,263,966.50 : 503,885,191.50 = 503,885,191.50 : x
  2. Step 2: Convert to fraction form
    233,263,966.50/503,885,191.50 = 503,885,191.50/x
  3. Step 3: Cross multiply
    233,263,966.50x = 503,885,191.50 × 503,885,191.50
  4. Step 4: Simplify right side
    233,263,966.50x = 253,900,286,212,991,680
  5. Step 5: Solve for x
    x = 253,900,286,212,991,680/233,263,966.50
  6. Step 6: Final answer
    x = 1,088,467,670.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.