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Finding the Third Proportional to 172,693,762 and 281,963,518.50

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Solution

The third proportional to 172,693,762 and 281,963,518.50 is: 460,372,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,693,762 : 281,963,518.50 = 281,963,518.50 : x
  2. Step 2: Convert to fraction form
    172,693,762/281,963,518.50 = 281,963,518.50/x
  3. Step 3: Cross multiply
    172,693,762x = 281,963,518.50 × 281,963,518.50
  4. Step 4: Simplify right side
    172,693,762x = 79,503,425,764,899,840
  5. Step 5: Solve for x
    x = 79,503,425,764,899,840/172,693,762
  6. Step 6: Final answer
    x = 460,372,307.86

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.