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Finding the Third Proportional to 172,693,766.81 and 281,963,526.19

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Solution

The third proportional to 172,693,766.81 and 281,963,526.19 is: 460,372,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,693,766.81 : 281,963,526.19 = 281,963,526.19 : x
  2. Step 2: Convert to fraction form
    172,693,766.81/281,963,526.19 = 281,963,526.19/x
  3. Step 3: Cross multiply
    172,693,766.81x = 281,963,526.19 × 281,963,526.19
  4. Step 4: Simplify right side
    172,693,766.81x = 79,503,430,100,088,992
  5. Step 5: Solve for x
    x = 79,503,430,100,088,992/172,693,766.81
  6. Step 6: Final answer
    x = 460,372,320.13

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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.