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Finding the Third Proportional to 130,287,181.50 and 286,396,033.50

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Solution

The third proportional to 130,287,181.50 and 286,396,033.50 is: 629,553,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,287,181.50 : 286,396,033.50 = 286,396,033.50 : x
  2. Step 2: Convert to fraction form
    130,287,181.50/286,396,033.50 = 286,396,033.50/x
  3. Step 3: Cross multiply
    130,287,181.50x = 286,396,033.50 × 286,396,033.50
  4. Step 4: Simplify right side
    130,287,181.50x = 82,022,688,004,533,120
  5. Step 5: Solve for x
    x = 82,022,688,004,533,120/130,287,181.50
  6. Step 6: Final answer
    x = 629,553,015.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.