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Finding the Third Proportional to 191,063,029.50 and 286,294,520.25

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Solution

The third proportional to 191,063,029.50 and 286,294,520.25 is: 428,992,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,063,029.50 : 286,294,520.25 = 286,294,520.25 : x
  2. Step 2: Convert to fraction form
    191,063,029.50/286,294,520.25 = 286,294,520.25/x
  3. Step 3: Cross multiply
    191,063,029.50x = 286,294,520.25 × 286,294,520.25
  4. Step 4: Simplify right side
    191,063,029.50x = 81,964,552,325,177,664
  5. Step 5: Solve for x
    x = 81,964,552,325,177,664/191,063,029.50
  6. Step 6: Final answer
    x = 428,992,215.50

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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.