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Finding the Third Proportional to 106,752,982.50 and 233,080,708.50

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Solution

The third proportional to 106,752,982.50 and 233,080,708.50 is: 508,900,223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,752,982.50 : 233,080,708.50 = 233,080,708.50 : x
  2. Step 2: Convert to fraction form
    106,752,982.50/233,080,708.50 = 233,080,708.50/x
  3. Step 3: Cross multiply
    106,752,982.50x = 233,080,708.50 × 233,080,708.50
  4. Step 4: Simplify right side
    106,752,982.50x = 54,326,616,674,861,976
  5. Step 5: Solve for x
    x = 54,326,616,674,861,976/106,752,982.50
  6. Step 6: Final answer
    x = 508,900,223.70

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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.