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Finding the Third Proportional to 116,616,801.50 and 269,975,264.50

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Solution

The third proportional to 116,616,801.50 and 269,975,264.50 is: 625,009,797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,616,801.50 : 269,975,264.50 = 269,975,264.50 : x
  2. Step 2: Convert to fraction form
    116,616,801.50/269,975,264.50 = 269,975,264.50/x
  3. Step 3: Cross multiply
    116,616,801.50x = 269,975,264.50 × 269,975,264.50
  4. Step 4: Simplify right side
    116,616,801.50x = 72,886,643,441,844,960
  5. Step 5: Solve for x
    x = 72,886,643,441,844,960/116,616,801.50
  6. Step 6: Final answer
    x = 625,009,797.08

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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.