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Finding the Third Proportional to 106,485,286.50 and 163,574,491.50

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Solution

The third proportional to 106,485,286.50 and 163,574,491.50 is: 251,270,529.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,485,286.50 : 163,574,491.50 = 163,574,491.50 : x
  2. Step 2: Convert to fraction form
    106,485,286.50/163,574,491.50 = 163,574,491.50/x
  3. Step 3: Cross multiply
    106,485,286.50x = 163,574,491.50 × 163,574,491.50
  4. Step 4: Simplify right side
    106,485,286.50x = 26,756,614,269,483,572
  5. Step 5: Solve for x
    x = 26,756,614,269,483,572/106,485,286.50
  6. Step 6: Final answer
    x = 251,270,529.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.