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Finding the Third Proportional to 98,464,572 and 214,267,680

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Solution

The third proportional to 98,464,572 and 214,267,680 is: 466,265,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,464,572 : 214,267,680 = 214,267,680 : x
  2. Step 2: Convert to fraction form
    98,464,572/214,267,680 = 214,267,680/x
  3. Step 3: Cross multiply
    98,464,572x = 214,267,680 × 214,267,680
  4. Step 4: Simplify right side
    98,464,572x = 45,910,638,692,582,400
  5. Step 5: Solve for x
    x = 45,910,638,692,582,400/98,464,572
  6. Step 6: Final answer
    x = 466,265,558.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.