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Finding the Third Proportional to 70,661,335.50 and 106,345,813.50

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Solution

The third proportional to 70,661,335.50 and 106,345,813.50 is: 160,051,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,661,335.50 : 106,345,813.50 = 106,345,813.50 : x
  2. Step 2: Convert to fraction form
    70,661,335.50/106,345,813.50 = 106,345,813.50/x
  3. Step 3: Cross multiply
    70,661,335.50x = 106,345,813.50 × 106,345,813.50
  4. Step 4: Simplify right side
    70,661,335.50x = 11,309,432,048,976,782
  5. Step 5: Solve for x
    x = 11,309,432,048,976,782/70,661,335.50
  6. Step 6: Final answer
    x = 160,051,207.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.