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Finding the Third Proportional to 219,905,658 and 434,260,548

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Solution

The third proportional to 219,905,658 and 434,260,548 is: 857,559,670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,905,658 : 434,260,548 = 434,260,548 : x
  2. Step 2: Convert to fraction form
    219,905,658/434,260,548 = 434,260,548/x
  3. Step 3: Cross multiply
    219,905,658x = 434,260,548 × 434,260,548
  4. Step 4: Simplify right side
    219,905,658x = 188,582,223,549,260,288
  5. Step 5: Solve for x
    x = 188,582,223,549,260,288/219,905,658
  6. Step 6: Final answer
    x = 857,559,670.20

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.