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Finding the Third Proportional to 130,865,640 and 275,269,320

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Solution

The third proportional to 130,865,640 and 275,269,320 is: 579,015,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,865,640 : 275,269,320 = 275,269,320 : x
  2. Step 2: Convert to fraction form
    130,865,640/275,269,320 = 275,269,320/x
  3. Step 3: Cross multiply
    130,865,640x = 275,269,320 × 275,269,320
  4. Step 4: Simplify right side
    130,865,640x = 75,773,198,533,262,400
  5. Step 5: Solve for x
    x = 75,773,198,533,262,400/130,865,640
  6. Step 6: Final answer
    x = 579,015,229.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.