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Finding the Third Proportional to 191,308,989.75 and 286,913,662

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Solution

The third proportional to 191,308,989.75 and 286,913,662 is: 430,295,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,308,989.75 : 286,913,662 = 286,913,662 : x
  2. Step 2: Convert to fraction form
    191,308,989.75/286,913,662 = 286,913,662/x
  3. Step 3: Cross multiply
    191,308,989.75x = 286,913,662 × 286,913,662
  4. Step 4: Simplify right side
    191,308,989.75x = 82,319,449,442,250,240
  5. Step 5: Solve for x
    x = 82,319,449,442,250,240/191,308,989.75
  6. Step 6: Final answer
    x = 430,295,772.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.