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Finding the Third Proportional to 71,383,640 and 96,313,290

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Solution

The third proportional to 71,383,640 and 96,313,290 is: 129,949,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383,640 : 96,313,290 = 96,313,290 : x
  2. Step 2: Convert to fraction form
    71,383,640/96,313,290 = 96,313,290/x
  3. Step 3: Cross multiply
    71,383,640x = 96,313,290 × 96,313,290
  4. Step 4: Simplify right side
    71,383,640x = 9,276,249,830,624,100
  5. Step 5: Solve for x
    x = 9,276,249,830,624,100/71,383,640
  6. Step 6: Final answer
    x = 129,949,240.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.