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Finding the Third Proportional to 116,616,807.50 and 269,975,279.50

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Solution

The third proportional to 116,616,807.50 and 269,975,279.50 is: 625,009,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,616,807.50 : 269,975,279.50 = 269,975,279.50 : x
  2. Step 2: Convert to fraction form
    116,616,807.50/269,975,279.50 = 269,975,279.50/x
  3. Step 3: Cross multiply
    116,616,807.50x = 269,975,279.50 × 269,975,279.50
  4. Step 4: Simplify right side
    116,616,807.50x = 72,886,651,541,103,120
  5. Step 5: Solve for x
    x = 72,886,651,541,103,120/116,616,807.50
  6. Step 6: Final answer
    x = 625,009,834.38

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.