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Finding the Third Proportional to 232,816,549.50 and 506,967,394.50

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Solution

The third proportional to 232,816,549.50 and 506,967,394.50 is: 1,103,941,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,816,549.50 : 506,967,394.50 = 506,967,394.50 : x
  2. Step 2: Convert to fraction form
    232,816,549.50/506,967,394.50 = 506,967,394.50/x
  3. Step 3: Cross multiply
    232,816,549.50x = 506,967,394.50 × 506,967,394.50
  4. Step 4: Simplify right side
    232,816,549.50x = 257,015,939,086,118,624
  5. Step 5: Solve for x
    x = 257,015,939,086,118,624/232,816,549.50
  6. Step 6: Final answer
    x = 1,103,941,878.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.