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Finding the Third Proportional to 70,661,254.50 and 106,345,689.75

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Solution

The third proportional to 70,661,254.50 and 106,345,689.75 is: 160,051,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,661,254.50 : 106,345,689.75 = 106,345,689.75 : x
  2. Step 2: Convert to fraction form
    70,661,254.50/106,345,689.75 = 106,345,689.75/x
  3. Step 3: Cross multiply
    70,661,254.50x = 106,345,689.75 × 106,345,689.75
  4. Step 4: Simplify right side
    70,661,254.50x = 11,309,405,728,403,256
  5. Step 5: Solve for x
    x = 11,309,405,728,403,256/70,661,254.50
  6. Step 6: Final answer
    x = 160,051,018.18

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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.