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Finding the Third Proportional to 245,650,563 and 525,313,350

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Solution

The third proportional to 245,650,563 and 525,313,350 is: 1,123,360,403.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,650,563 : 525,313,350 = 525,313,350 : x
  2. Step 2: Convert to fraction form
    245,650,563/525,313,350 = 525,313,350/x
  3. Step 3: Cross multiply
    245,650,563x = 525,313,350 × 525,313,350
  4. Step 4: Simplify right side
    245,650,563x = 275,954,115,688,222,496
  5. Step 5: Solve for x
    x = 275,954,115,688,222,496/245,650,563
  6. Step 6: Final answer
    x = 1,123,360,403.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.