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Finding the Third Proportional to 118,445,314.50 and 255,618,463.50

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Solution

The third proportional to 118,445,314.50 and 255,618,463.50 is: 551,653,724.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,445,314.50 : 255,618,463.50 = 255,618,463.50 : x
  2. Step 2: Convert to fraction form
    118,445,314.50/255,618,463.50 = 255,618,463.50/x
  3. Step 3: Cross multiply
    118,445,314.50x = 255,618,463.50 × 255,618,463.50
  4. Step 4: Simplify right side
    118,445,314.50x = 65,340,798,882,100,832
  5. Step 5: Solve for x
    x = 65,340,798,882,100,832/118,445,314.50
  6. Step 6: Final answer
    x = 551,653,724.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.