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Finding the Third Proportional to 106,970,756.63 and 160,711,649.44

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Solution

The third proportional to 106,970,756.63 and 160,711,649.44 is: 241,451,356.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,970,756.63 : 160,711,649.44 = 160,711,649.44 : x
  2. Step 2: Convert to fraction form
    106,970,756.63/160,711,649.44 = 160,711,649.44/x
  3. Step 3: Cross multiply
    106,970,756.63x = 160,711,649.44 × 160,711,649.44
  4. Step 4: Simplify right side
    106,970,756.63x = 25,828,234,264,921,896
  5. Step 5: Solve for x
    x = 25,828,234,264,921,896/106,970,756.63
  6. Step 6: Final answer
    x = 241,451,356.24

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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.