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Finding the Third Proportional to 127,925,920.50 and 196,509,859.50

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Solution

The third proportional to 127,925,920.50 and 196,509,859.50 is: 301,863,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,925,920.50 : 196,509,859.50 = 196,509,859.50 : x
  2. Step 2: Convert to fraction form
    127,925,920.50/196,509,859.50 = 196,509,859.50/x
  3. Step 3: Cross multiply
    127,925,920.50x = 196,509,859.50 × 196,509,859.50
  4. Step 4: Simplify right side
    127,925,920.50x = 38,616,124,880,709,744
  5. Step 5: Solve for x
    x = 38,616,124,880,709,744/127,925,920.50
  6. Step 6: Final answer
    x = 301,863,177.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.